diff --git a/packages/babel-parser/test/fixtures/typescript/class/modifiers-index-signatures/input.ts b/packages/babel-parser/test/fixtures/typescript/class/modifiers-index-signatures/input.ts
new file mode 100644
index 000000000000..ecb5b9a13110
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/typescript/class/modifiers-index-signatures/input.ts
@@ -0,0 +1,7 @@
+class C {
+  abstract [key: string]: string;
+  static [key: string]: string;
+  private [key: string]: string;
+  public [key: string]: string;
+  protected [key: string]: string;
+}
diff --git a/packages/babel-parser/test/fixtures/typescript/class/modifiers-index-signatures/output.json b/packages/babel-parser/test/fixtures/typescript/class/modifiers-index-signatures/output.json
new file mode 100644
index 000000000000..eb397d7b5767
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/typescript/class/modifiers-index-signatures/output.json
@@ -0,0 +1,175 @@
+{
+  "type": "File",
+  "start":0,"end":177,"loc":{"start":{"line":1,"column":0},"end":{"line":7,"column":1}},
+  "errors": [
+    "SyntaxError: Index signatures cannot have the 'abstract' modifier (2:2)",
+    "SyntaxError: Index signatures cannot have the 'static' modifier (3:2)",
+    "SyntaxError: Index signatures cannot have an accessibility modifier ('private') (4:2)",
+    "SyntaxError: Index signatures cannot have an accessibility modifier ('public') (5:2)",
+    "SyntaxError: Index signatures cannot have an accessibility modifier ('protected') (6:2)"
+  ],
+  "program": {
+    "type": "Program",
+    "start":0,"end":177,"loc":{"start":{"line":1,"column":0},"end":{"line":7,"column":1}},
+    "sourceType": "module",
+    "interpreter": null,
+    "body": [
+      {
+        "type": "ClassDeclaration",
+        "start":0,"end":177,"loc":{"start":{"line":1,"column":0},"end":{"line":7,"column":1}},
+        "id": {
+          "type": "Identifier",
+          "start":6,"end":7,"loc":{"start":{"line":1,"column":6},"end":{"line":1,"column":7},"identifierName":"C"},
+          "name": "C"
+        },
+        "superClass": null,
+        "body": {
+          "type": "ClassBody",
+          "start":8,"end":177,"loc":{"start":{"line":1,"column":8},"end":{"line":7,"column":1}},
+          "body": [
+            {
+              "type": "TSIndexSignature",
+              "start":12,"end":43,"loc":{"start":{"line":2,"column":2},"end":{"line":2,"column":33}},
+              "abstract": true,
+              "parameters": [
+                {
+                  "type": "Identifier",
+                  "start":22,"end":33,"loc":{"start":{"line":2,"column":12},"end":{"line":2,"column":23},"identifierName":"key"},
+                  "name": "key",
+                  "typeAnnotation": {
+                    "type": "TSTypeAnnotation",
+                    "start":25,"end":33,"loc":{"start":{"line":2,"column":15},"end":{"line":2,"column":23}},
+                    "typeAnnotation": {
+                      "type": "TSStringKeyword",
+                      "start":27,"end":33,"loc":{"start":{"line":2,"column":17},"end":{"line":2,"column":23}}
+                    }
+                  }
+                }
+              ],
+              "typeAnnotation": {
+                "type": "TSTypeAnnotation",
+                "start":34,"end":42,"loc":{"start":{"line":2,"column":24},"end":{"line":2,"column":32}},
+                "typeAnnotation": {
+                  "type": "TSStringKeyword",
+                  "start":36,"end":42,"loc":{"start":{"line":2,"column":26},"end":{"line":2,"column":32}}
+                }
+              }
+            },
+            {
+              "type": "TSIndexSignature",
+              "start":46,"end":75,"loc":{"start":{"line":3,"column":2},"end":{"line":3,"column":31}},
+              "parameters": [
+                {
+                  "type": "Identifier",
+                  "start":54,"end":65,"loc":{"start":{"line":3,"column":10},"end":{"line":3,"column":21},"identifierName":"key"},
+                  "name": "key",
+                  "typeAnnotation": {
+                    "type": "TSTypeAnnotation",
+                    "start":57,"end":65,"loc":{"start":{"line":3,"column":13},"end":{"line":3,"column":21}},
+                    "typeAnnotation": {
+                      "type": "TSStringKeyword",
+                      "start":59,"end":65,"loc":{"start":{"line":3,"column":15},"end":{"line":3,"column":21}}
+                    }
+                  }
+                }
+              ],
+              "typeAnnotation": {
+                "type": "TSTypeAnnotation",
+                "start":66,"end":74,"loc":{"start":{"line":3,"column":22},"end":{"line":3,"column":30}},
+                "typeAnnotation": {
+                  "type": "TSStringKeyword",
+                  "start":68,"end":74,"loc":{"start":{"line":3,"column":24},"end":{"line":3,"column":30}}
+                }
+              }
+            },
+            {
+              "type": "TSIndexSignature",
+              "start":78,"end":108,"loc":{"start":{"line":4,"column":2},"end":{"line":4,"column":32}},
+              "accessibility": "private",
+              "parameters": [
+                {
+                  "type": "Identifier",
+                  "start":87,"end":98,"loc":{"start":{"line":4,"column":11},"end":{"line":4,"column":22},"identifierName":"key"},
+                  "name": "key",
+                  "typeAnnotation": {
+                    "type": "TSTypeAnnotation",
+                    "start":90,"end":98,"loc":{"start":{"line":4,"column":14},"end":{"line":4,"column":22}},
+                    "typeAnnotation": {
+                      "type": "TSStringKeyword",
+                      "start":92,"end":98,"loc":{"start":{"line":4,"column":16},"end":{"line":4,"column":22}}
+                    }
+                  }
+                }
+              ],
+              "typeAnnotation": {
+                "type": "TSTypeAnnotation",
+                "start":99,"end":107,"loc":{"start":{"line":4,"column":23},"end":{"line":4,"column":31}},
+                "typeAnnotation": {
+                  "type": "TSStringKeyword",
+                  "start":101,"end":107,"loc":{"start":{"line":4,"column":25},"end":{"line":4,"column":31}}
+                }
+              }
+            },
+            {
+              "type": "TSIndexSignature",
+              "start":111,"end":140,"loc":{"start":{"line":5,"column":2},"end":{"line":5,"column":31}},
+              "accessibility": "public",
+              "parameters": [
+                {
+                  "type": "Identifier",
+                  "start":119,"end":130,"loc":{"start":{"line":5,"column":10},"end":{"line":5,"column":21},"identifierName":"key"},
+                  "name": "key",
+                  "typeAnnotation": {
+                    "type": "TSTypeAnnotation",
+                    "start":122,"end":130,"loc":{"start":{"line":5,"column":13},"end":{"line":5,"column":21}},
+                    "typeAnnotation": {
+                      "type": "TSStringKeyword",
+                      "start":124,"end":130,"loc":{"start":{"line":5,"column":15},"end":{"line":5,"column":21}}
+                    }
+                  }
+                }
+              ],
+              "typeAnnotation": {
+                "type": "TSTypeAnnotation",
+                "start":131,"end":139,"loc":{"start":{"line":5,"column":22},"end":{"line":5,"column":30}},
+                "typeAnnotation": {
+                  "type": "TSStringKeyword",
+                  "start":133,"end":139,"loc":{"start":{"line":5,"column":24},"end":{"line":5,"column":30}}
+                }
+              }
+            },
+            {
+              "type": "TSIndexSignature",
+              "start":143,"end":175,"loc":{"start":{"line":6,"column":2},"end":{"line":6,"column":34}},
+              "accessibility": "protected",
+              "parameters": [
+                {
+                  "type": "Identifier",
+                  "start":154,"end":165,"loc":{"start":{"line":6,"column":13},"end":{"line":6,"column":24},"identifierName":"key"},
+                  "name": "key",
+                  "typeAnnotation": {
+                    "type": "TSTypeAnnotation",
+                    "start":157,"end":165,"loc":{"start":{"line":6,"column":16},"end":{"line":6,"column":24}},
+                    "typeAnnotation": {
+                      "type": "TSStringKeyword",
+                      "start":159,"end":165,"loc":{"start":{"line":6,"column":18},"end":{"line":6,"column":24}}
+                    }
+                  }
+                }
+              ],
+              "typeAnnotation": {
+                "type": "TSTypeAnnotation",
+                "start":166,"end":174,"loc":{"start":{"line":6,"column":25},"end":{"line":6,"column":33}},
+                "typeAnnotation": {
+                  "type": "TSStringKeyword",
+                  "start":168,"end":174,"loc":{"start":{"line":6,"column":27},"end":{"line":6,"column":33}}
+                }
+              }
+            }
+          ]
+        }
+      }
+    ],
+    "directives": []
+  }
+}
\ No newline at end of file
diff --git a/packages/babel-parser/test/fixtures/typescript/types/import-type-dynamic-errors/input.ts b/packages/babel-parser/test/fixtures/typescript/types/import-type-dynamic-errors/input.ts
new file mode 100644
index 000000000000..6ab15963636f
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/typescript/types/import-type-dynamic-errors/input.ts
@@ -0,0 +1,3 @@
+type X = import(3);
+type Y = import(`Foo`);
+type Z = import(Y);
diff --git a/packages/babel-parser/test/fixtures/typescript/types/import-type-dynamic-errors/output.json b/packages/babel-parser/test/fixtures/typescript/types/import-type-dynamic-errors/output.json
new file mode 100644
index 000000000000..0a28271d346e
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/typescript/types/import-type-dynamic-errors/output.json
@@ -0,0 +1,87 @@
+{
+  "type": "File",
+  "start":0,"end":63,"loc":{"start":{"line":1,"column":0},"end":{"line":3,"column":19}},
+  "errors": [
+    "SyntaxError: Argument in a type import must be a string literal (1:16)",
+    "SyntaxError: Argument in a type import must be a string literal (2:16)",
+    "SyntaxError: Argument in a type import must be a string literal (3:16)"
+  ],
+  "program": {
+    "type": "Program",
+    "start":0,"end":63,"loc":{"start":{"line":1,"column":0},"end":{"line":3,"column":19}},
+    "sourceType": "module",
+    "interpreter": null,
+    "body": [
+      {
+        "type": "TSTypeAliasDeclaration",
+        "start":0,"end":19,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":19}},
+        "id": {
+          "type": "Identifier",
+          "start":5,"end":6,"loc":{"start":{"line":1,"column":5},"end":{"line":1,"column":6},"identifierName":"X"},
+          "name": "X"
+        },
+        "typeAnnotation": {
+          "type": "TSImportType",
+          "start":9,"end":18,"loc":{"start":{"line":1,"column":9},"end":{"line":1,"column":18}},
+          "argument": {
+            "type": "NumericLiteral",
+            "start":16,"end":17,"loc":{"start":{"line":1,"column":16},"end":{"line":1,"column":17}},
+            "extra": {
+              "rawValue": 3,
+              "raw": "3"
+            },
+            "value": 3
+          }
+        }
+      },
+      {
+        "type": "TSTypeAliasDeclaration",
+        "start":20,"end":43,"loc":{"start":{"line":2,"column":0},"end":{"line":2,"column":23}},
+        "id": {
+          "type": "Identifier",
+          "start":25,"end":26,"loc":{"start":{"line":2,"column":5},"end":{"line":2,"column":6},"identifierName":"Y"},
+          "name": "Y"
+        },
+        "typeAnnotation": {
+          "type": "TSImportType",
+          "start":29,"end":42,"loc":{"start":{"line":2,"column":9},"end":{"line":2,"column":22}},
+          "argument": {
+            "type": "TemplateLiteral",
+            "start":36,"end":41,"loc":{"start":{"line":2,"column":16},"end":{"line":2,"column":21}},
+            "expressions": [],
+            "quasis": [
+              {
+                "type": "TemplateElement",
+                "start":37,"end":40,"loc":{"start":{"line":2,"column":17},"end":{"line":2,"column":20}},
+                "value": {
+                  "raw": "Foo",
+                  "cooked": "Foo"
+                },
+                "tail": true
+              }
+            ]
+          }
+        }
+      },
+      {
+        "type": "TSTypeAliasDeclaration",
+        "start":44,"end":63,"loc":{"start":{"line":3,"column":0},"end":{"line":3,"column":19}},
+        "id": {
+          "type": "Identifier",
+          "start":49,"end":50,"loc":{"start":{"line":3,"column":5},"end":{"line":3,"column":6},"identifierName":"Z"},
+          "name": "Z"
+        },
+        "typeAnnotation": {
+          "type": "TSImportType",
+          "start":53,"end":62,"loc":{"start":{"line":3,"column":9},"end":{"line":3,"column":18}},
+          "argument": {
+            "type": "Identifier",
+            "start":60,"end":61,"loc":{"start":{"line":3,"column":16},"end":{"line":3,"column":17},"identifierName":"Y"},
+            "name": "Y"
+          }
+        }
+      }
+    ],
+    "directives": []
+  }
+}
\ No newline at end of file