diff --git a/packages/eslint-plugin/src/rules/unbound-method.ts b/packages/eslint-plugin/src/rules/unbound-method.ts
index 46bbe779c66c..8e27874271cc 100644
--- a/packages/eslint-plugin/src/rules/unbound-method.ts
+++ b/packages/eslint-plugin/src/rules/unbound-method.ts
@@ -111,6 +111,9 @@ function isSafeUse(node: TSESTree.Node): boolean {
     case AST_NODE_TYPES.CallExpression:
       return parent.callee === node;
 
+    case AST_NODE_TYPES.AssignmentExpression:
+      return isBindCalled(parent.right);
+
     case AST_NODE_TYPES.ConditionalExpression:
       return parent.test === node;
 
@@ -134,3 +137,12 @@ function isSafeUse(node: TSESTree.Node): boolean {
 
   return false;
 }
+
+function isBindCalled(parent: TSESTree.Expression): boolean {
+  return (
+    parent.type === AST_NODE_TYPES.CallExpression &&
+    parent.callee.type === AST_NODE_TYPES.MemberExpression &&
+    parent.callee.property.type === AST_NODE_TYPES.Identifier &&
+    parent.callee.property.name === 'bind'
+  );
+}
diff --git a/packages/eslint-plugin/tests/rules/unbound-method.test.ts b/packages/eslint-plugin/tests/rules/unbound-method.test.ts
index 520b28fc1d1d..352b9ee9a283 100644
--- a/packages/eslint-plugin/tests/rules/unbound-method.test.ts
+++ b/packages/eslint-plugin/tests/rules/unbound-method.test.ts
@@ -143,6 +143,16 @@ class CommunicationError {
 class CommunicationError {}
 const x = CommunicationError.prototype;
     `,
+    // https://github.com/typescript-eslint/typescript-eslint/issues/700
+    `
+class ContainsBoundMethod {
+  constructor() {
+    this.handleSomething = this.handleSomething.bind(this);
+  }
+
+  handleSomething(): void {}
+}
+    `,
   ],
   invalid: [
     {