diff --git a/packages/eslint-plugin/src/rules/explicit-function-return-type.ts b/packages/eslint-plugin/src/rules/explicit-function-return-type.ts
index b050578c189..43a1cac41fb 100644
--- a/packages/eslint-plugin/src/rules/explicit-function-return-type.ts
+++ b/packages/eslint-plugin/src/rules/explicit-function-return-type.ts
@@ -335,7 +335,8 @@ export default util.createRule<Options, MessageIds>({
           options.allowExpressions &&
           node.parent.type !== AST_NODE_TYPES.VariableDeclarator &&
           node.parent.type !== AST_NODE_TYPES.MethodDefinition &&
-          node.parent.type !== AST_NODE_TYPES.ExportDefaultDeclaration
+          node.parent.type !== AST_NODE_TYPES.ExportDefaultDeclaration &&
+          node.parent.type !== AST_NODE_TYPES.ClassProperty
         ) {
           return;
         }
diff --git a/packages/eslint-plugin/tests/rules/explicit-function-return-type.test.ts b/packages/eslint-plugin/tests/rules/explicit-function-return-type.test.ts
index 0c67b903cee..bd69534089d 100644
--- a/packages/eslint-plugin/tests/rules/explicit-function-return-type.test.ts
+++ b/packages/eslint-plugin/tests/rules/explicit-function-return-type.test.ts
@@ -516,6 +516,57 @@ function test() {
         },
       ],
     },
+    {
+      filename: 'test.ts',
+      code: `
+class Foo {
+  public a = () => {};
+  public b = function () {};
+  public c = function test() {};
+
+  static d = () => {};
+  static e = function () {};
+}
+      `,
+      options: [{ allowExpressions: true }],
+      errors: [
+        {
+          messageId: 'missingReturnType',
+          line: 3,
+          endLine: 3,
+          column: 14,
+          endColumn: 19,
+        },
+        {
+          messageId: 'missingReturnType',
+          line: 4,
+          endLine: 4,
+          column: 14,
+          endColumn: 25,
+        },
+        {
+          messageId: 'missingReturnType',
+          line: 5,
+          endLine: 5,
+          column: 14,
+          endColumn: 29,
+        },
+        {
+          messageId: 'missingReturnType',
+          line: 7,
+          endLine: 7,
+          column: 14,
+          endColumn: 19,
+        },
+        {
+          messageId: 'missingReturnType',
+          line: 8,
+          endLine: 8,
+          column: 14,
+          endColumn: 25,
+        },
+      ],
+    },
     {
       filename: 'test.ts',
       code: "var arrowFn = () => 'test';",