diff --git a/packages/babel-helper-function-name/src/index.js b/packages/babel-helper-function-name/src/index.js
index cbbe8802f6..bdce1f819c 100644
--- a/packages/babel-helper-function-name/src/index.js
+++ b/packages/babel-helper-function-name/src/index.js
@@ -45,6 +45,26 @@ const visitor = {
   },
 };
 
+function getNameFromLiteralId(id) {
+  if (t.isNullLiteral(id)) {
+    return "null";
+  }
+
+  if (t.isRegExpLiteral(id)) {
+    return `_${id.pattern}_${id.flags}`;
+  }
+
+  if (t.isTemplateLiteral(id)) {
+    return id.quasis.map(quasi => quasi.value.raw).join("");
+  }
+
+  if (id.value !== undefined) {
+    return id.value + "";
+  }
+
+  return "";
+}
+
 function wrap(state, method, id, scope) {
   if (state.selfReference) {
     if (scope.hasBinding(id.name) && !scope.hasGlobal(id.name)) {
@@ -168,10 +188,12 @@ export default function({ node, parent, scope, id }, localBinding = false) {
 
   let name;
   if (id && t.isLiteral(id)) {
-    name = id.value;
+    name = getNameFromLiteralId(id);
   } else if (id && t.isIdentifier(id)) {
     name = id.name;
-  } else {
+  }
+
+  if (name === undefined) {
     return;
   }
 
diff --git a/packages/babel-plugin-transform-function-name/test/fixtures/issues/7199/input.js b/packages/babel-plugin-transform-function-name/test/fixtures/issues/7199/input.js
new file mode 100644
index 0000000000..5b8853bc69
--- /dev/null
+++ b/packages/babel-plugin-transform-function-name/test/fixtures/issues/7199/input.js
@@ -0,0 +1,8 @@
+const x = {
+  [null]: function () {},
+  [/regex/gi]: function () {},
+  [`y`]: function () {},
+  [`abc${y}def`]: function () {},
+  [0]: function () {},
+  [false]: function () {},
+};
diff --git a/packages/babel-plugin-transform-function-name/test/fixtures/issues/7199/options.json b/packages/babel-plugin-transform-function-name/test/fixtures/issues/7199/options.json
new file mode 100644
index 0000000000..ab147b5837
--- /dev/null
+++ b/packages/babel-plugin-transform-function-name/test/fixtures/issues/7199/options.json
@@ -0,0 +1,3 @@
+{
+  "plugins": ["external-helpers", "transform-function-name"]
+}
diff --git a/packages/babel-plugin-transform-function-name/test/fixtures/issues/7199/output.js b/packages/babel-plugin-transform-function-name/test/fixtures/issues/7199/output.js
new file mode 100644
index 0000000000..e98993ee80
--- /dev/null
+++ b/packages/babel-plugin-transform-function-name/test/fixtures/issues/7199/output.js
@@ -0,0 +1,8 @@
+const x = {
+  [null]: function _null() {},
+  [/regex/gi]: function _regex_gi() {},
+  [`y`]: function y() {},
+  [`abc${y}def`]: function abcdef() {},
+  [0]: function _() {},
+  [false]: function _false() {}
+};