diff --git a/packages/babel-parser/src/plugins/flow.js b/packages/babel-parser/src/plugins/flow.js
index d67393871209..f6d81fb6d1f2 100644
--- a/packages/babel-parser/src/plugins/flow.js
+++ b/packages/babel-parser/src/plugins/flow.js
@@ -3456,4 +3456,18 @@ export default (superClass: Class<Parser>): Class<Parser> =>
       });
       return this.finishNode(node, "EnumDeclaration");
     }
+
+    updateContext(prevType: TokenType): void {
+      if (
+        this.match(tt.name) &&
+        this.state.value === "of" &&
+        prevType === tt.name &&
+        this.input.slice(this.state.lastTokStart, this.state.lastTokEnd) ===
+          "interface"
+      ) {
+        this.state.exprAllowed = false;
+      } else {
+        super.updateContext(prevType);
+      }
+    }
   };
diff --git a/packages/babel-parser/src/tokenizer/context.js b/packages/babel-parser/src/tokenizer/context.js
index 3f3907872c06..064a81c9fc83 100644
--- a/packages/babel-parser/src/tokenizer/context.js
+++ b/packages/babel-parser/src/tokenizer/context.js
@@ -59,7 +59,10 @@ tt.name.updateContext = function(prevType) {
   let allowed = false;
   if (prevType !== tt.dot) {
     if (
-      (this.state.value === "of" && !this.state.exprAllowed) ||
+      (this.state.value === "of" &&
+        !this.state.exprAllowed &&
+        prevType !== tt._function &&
+        prevType !== tt._class) ||
       (this.state.value === "yield" && this.prodParam.hasYield)
     ) {
       allowed = true;
diff --git a/packages/babel-parser/test/fixtures/flow/regression/issue-10675-class/input.js b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-class/input.js
new file mode 100644
index 000000000000..ba0916b8e4f9
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-class/input.js
@@ -0,0 +1,2 @@
+class of<T> {}
+
diff --git a/packages/babel-parser/test/fixtures/flow/regression/issue-10675-class/options.json b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-class/options.json
new file mode 100644
index 000000000000..7c91792f0e9c
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-class/options.json
@@ -0,0 +1,7 @@
+{
+  "sourceType": "module",
+  "plugins": [
+    "jsx",
+    "flow"
+  ]
+}
diff --git a/packages/babel-parser/test/fixtures/flow/regression/issue-10675-class/output.json b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-class/output.json
new file mode 100644
index 000000000000..d3709929d73e
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-class/output.json
@@ -0,0 +1,40 @@
+{
+  "type": "File",
+  "start":0,"end":14,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":14}},
+  "program": {
+    "type": "Program",
+    "start":0,"end":14,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":14}},
+    "sourceType": "module",
+    "interpreter": null,
+    "body": [
+      {
+        "type": "ClassDeclaration",
+        "start":0,"end":14,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":14}},
+        "id": {
+          "type": "Identifier",
+          "start":6,"end":8,"loc":{"start":{"line":1,"column":6},"end":{"line":1,"column":8},"identifierName":"of"},
+          "name": "of"
+        },
+        "typeParameters": {
+          "type": "TypeParameterDeclaration",
+          "start":8,"end":11,"loc":{"start":{"line":1,"column":8},"end":{"line":1,"column":11}},
+          "params": [
+            {
+              "type": "TypeParameter",
+              "start":9,"end":10,"loc":{"start":{"line":1,"column":9},"end":{"line":1,"column":10}},
+              "name": "T",
+              "variance": null
+            }
+          ]
+        },
+        "superClass": null,
+        "body": {
+          "type": "ClassBody",
+          "start":12,"end":14,"loc":{"start":{"line":1,"column":12},"end":{"line":1,"column":14}},
+          "body": []
+        }
+      }
+    ],
+    "directives": []
+  }
+}
\ No newline at end of file
diff --git a/packages/babel-parser/test/fixtures/flow/regression/issue-10675-function/input.js b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-function/input.js
new file mode 100644
index 000000000000..1f364d918343
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-function/input.js
@@ -0,0 +1,2 @@
+function of<T>() {}
+
diff --git a/packages/babel-parser/test/fixtures/flow/regression/issue-10675-function/options.json b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-function/options.json
new file mode 100644
index 000000000000..7c91792f0e9c
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-function/options.json
@@ -0,0 +1,7 @@
+{
+  "sourceType": "module",
+  "plugins": [
+    "jsx",
+    "flow"
+  ]
+}
diff --git a/packages/babel-parser/test/fixtures/flow/regression/issue-10675-function/output.json b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-function/output.json
new file mode 100644
index 000000000000..d5037bec0d39
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-function/output.json
@@ -0,0 +1,43 @@
+{
+  "type": "File",
+  "start":0,"end":19,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":19}},
+  "program": {
+    "type": "Program",
+    "start":0,"end":19,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":19}},
+    "sourceType": "module",
+    "interpreter": null,
+    "body": [
+      {
+        "type": "FunctionDeclaration",
+        "start":0,"end":19,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":19}},
+        "id": {
+          "type": "Identifier",
+          "start":9,"end":11,"loc":{"start":{"line":1,"column":9},"end":{"line":1,"column":11},"identifierName":"of"},
+          "name": "of"
+        },
+        "generator": false,
+        "async": false,
+        "typeParameters": {
+          "type": "TypeParameterDeclaration",
+          "start":11,"end":14,"loc":{"start":{"line":1,"column":11},"end":{"line":1,"column":14}},
+          "params": [
+            {
+              "type": "TypeParameter",
+              "start":12,"end":13,"loc":{"start":{"line":1,"column":12},"end":{"line":1,"column":13}},
+              "name": "T",
+              "variance": null
+            }
+          ]
+        },
+        "params": [],
+        "body": {
+          "type": "BlockStatement",
+          "start":17,"end":19,"loc":{"start":{"line":1,"column":17},"end":{"line":1,"column":19}},
+          "body": [],
+          "directives": []
+        }
+      }
+    ],
+    "directives": []
+  }
+}
\ No newline at end of file
diff --git a/packages/babel-parser/test/fixtures/flow/regression/issue-10675-interface/input.js b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-interface/input.js
new file mode 100644
index 000000000000..a8ffa68c54cb
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-interface/input.js
@@ -0,0 +1,2 @@
+interface of<T> {}
+
diff --git a/packages/babel-parser/test/fixtures/flow/regression/issue-10675-interface/options.json b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-interface/options.json
new file mode 100644
index 000000000000..7c91792f0e9c
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-interface/options.json
@@ -0,0 +1,7 @@
+{
+  "sourceType": "module",
+  "plugins": [
+    "jsx",
+    "flow"
+  ]
+}
diff --git a/packages/babel-parser/test/fixtures/flow/regression/issue-10675-interface/output.json b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-interface/output.json
new file mode 100644
index 000000000000..4c32af6e95ec
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/flow/regression/issue-10675-interface/output.json
@@ -0,0 +1,46 @@
+{
+  "type": "File",
+  "start":0,"end":18,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":18}},
+  "program": {
+    "type": "Program",
+    "start":0,"end":18,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":18}},
+    "sourceType": "module",
+    "interpreter": null,
+    "body": [
+      {
+        "type": "InterfaceDeclaration",
+        "start":0,"end":18,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":18}},
+        "id": {
+          "type": "Identifier",
+          "start":10,"end":12,"loc":{"start":{"line":1,"column":10},"end":{"line":1,"column":12},"identifierName":"of"},
+          "name": "of"
+        },
+        "typeParameters": {
+          "type": "TypeParameterDeclaration",
+          "start":12,"end":15,"loc":{"start":{"line":1,"column":12},"end":{"line":1,"column":15}},
+          "params": [
+            {
+              "type": "TypeParameter",
+              "start":13,"end":14,"loc":{"start":{"line":1,"column":13},"end":{"line":1,"column":14}},
+              "name": "T",
+              "variance": null
+            }
+          ]
+        },
+        "extends": [],
+        "implements": [],
+        "mixins": [],
+        "body": {
+          "type": "ObjectTypeAnnotation",
+          "start":16,"end":18,"loc":{"start":{"line":1,"column":16},"end":{"line":1,"column":18}},
+          "callProperties": [],
+          "properties": [],
+          "indexers": [],
+          "internalSlots": [],
+          "exact": false
+        }
+      }
+    ],
+    "directives": []
+  }
+}
\ No newline at end of file