diff --git a/packages/babel-generator/src/node/parentheses.js b/packages/babel-generator/src/node/parentheses.js
index 40b43f9413eb..cd3dc0943a12 100644
--- a/packages/babel-generator/src/node/parentheses.js
+++ b/packages/babel-generator/src/node/parentheses.js
@@ -32,6 +32,16 @@ const isClassExtendsClause = (node: Object, parent: Object): boolean =>
   (t.isClassDeclaration(parent) || t.isClassExpression(parent)) &&
   parent.superClass === node;
 
+const hasPostfixPart = (node: Object, parent: Object) =>
+  ((t.isMemberExpression(parent) || t.isOptionalMemberExpression(parent)) &&
+    parent.object === node) ||
+  ((t.isCallExpression(parent) ||
+    t.isOptionalCallExpression(parent) ||
+    t.isNewExpression(parent)) &&
+    parent.callee === node) ||
+  (t.isTaggedTemplateExpression(parent) && parent.tag === node) ||
+  t.isTSNonNullExpression(parent);
+
 export function NullableTypeAnnotation(node: Object, parent: Object): boolean {
   return t.isArrayTypeAnnotation(parent);
 }
@@ -56,19 +66,7 @@ export function FunctionTypeAnnotation(
 }
 
 export function UpdateExpression(node: Object, parent: Object): boolean {
-  return (
-    // (foo++).test(), (foo++)[0]
-    t.isMemberExpression(parent, { object: node }) ||
-    // (foo++)?.test(), (foo++)?.[0]
-    t.isOptionalMemberExpression(parent, { object: node }) ||
-    // (foo++)()
-    t.isCallExpression(parent, { callee: node }) ||
-    // (foo++)?.()
-    t.isOptionalCallExpression(parent, { callee: node }) ||
-    // new (foo++)()
-    t.isNewExpression(parent, { callee: node }) ||
-    isClassExtendsClause(node, parent)
-  );
+  return hasPostfixPart(node, parent) || isClassExtendsClause(node, parent);
 }
 
 export function ObjectExpression(
@@ -100,13 +98,8 @@ export function Binary(node: Object, parent: Object): boolean {
   }
 
   if (
-    ((t.isCallExpression(parent) ||
-      t.isOptionalCallExpression(parent) ||
-      t.isNewExpression(parent)) &&
-      parent.callee === node) ||
+    hasPostfixPart(node, parent) ||
     t.isUnaryLike(parent) ||
-    ((t.isMemberExpression(parent) || t.isOptionalMemberExpression(parent)) &&
-      parent.object === node) ||
     t.isAwaitExpression(parent)
   ) {
     return true;
@@ -202,11 +195,7 @@ export function YieldExpression(node: Object, parent: Object): boolean {
   return (
     t.isBinary(parent) ||
     t.isUnaryLike(parent) ||
-    t.isCallExpression(parent) ||
-    t.isOptionalCallExpression(parent) ||
-    t.isMemberExpression(parent) ||
-    t.isOptionalMemberExpression(parent) ||
-    t.isNewExpression(parent) ||
+    hasPostfixPart(node, parent) ||
     (t.isAwaitExpression(parent) && t.isYieldExpression(node)) ||
     (t.isConditionalExpression(parent) && node === parent.test) ||
     isClassExtendsClause(node, parent)
@@ -225,12 +214,7 @@ export function ClassExpression(
 
 export function UnaryLike(node: Object, parent: Object): boolean {
   return (
-    ((t.isMemberExpression(parent) || t.isOptionalMemberExpression(parent)) &&
-      parent.object === node) ||
-    ((t.isCallExpression(parent) ||
-      t.isOptionalCallExpression(parent) ||
-      t.isNewExpression(parent)) &&
-      parent.callee === node) ||
+    hasPostfixPart(node, parent) ||
     t.isBinaryExpression(parent, { operator: "**", left: node }) ||
     isClassExtendsClause(node, parent)
   );
@@ -254,9 +238,6 @@ export function ConditionalExpression(node: Object, parent: Object): boolean {
     t.isBinary(parent) ||
     t.isConditionalExpression(parent, { test: node }) ||
     t.isAwaitExpression(parent) ||
-    t.isOptionalMemberExpression(parent, { object: node }) ||
-    t.isOptionalCallExpression(parent, { callee: node }) ||
-    t.isTaggedTemplateExpression(parent) ||
     t.isTSTypeAssertion(parent) ||
     t.isTSAsExpression(parent)
   ) {
@@ -276,12 +257,7 @@ export function OptionalMemberExpression(
   );
 }
 
-export function OptionalCallExpression(node: Object, parent: Object): boolean {
-  return (
-    t.isCallExpression(parent, { callee: node }) ||
-    t.isMemberExpression(parent, { object: node })
-  );
-}
+export { OptionalMemberExpression as OptionalCallExpression };
 
 export function AssignmentExpression(
   node: Object,
@@ -320,7 +296,6 @@ function isFirstInStatement(
   while (i > 0) {
     if (
       t.isExpressionStatement(parent, { expression: node }) ||
-      t.isTaggedTemplateExpression(parent) ||
       (considerDefaultExports &&
         t.isExportDefaultDeclaration(parent, { declaration: node })) ||
       (considerArrow && t.isArrowFunctionExpression(parent, { body: node }))
@@ -329,11 +304,8 @@ function isFirstInStatement(
     }
 
     if (
-      ((t.isCallExpression(parent) || t.isOptionalCallExpression(parent)) &&
-        parent.callee === node) ||
+      (hasPostfixPart(node, parent) && !t.isNewExpression(parent)) ||
       (t.isSequenceExpression(parent) && parent.expressions[0] === node) ||
-      ((t.isMemberExpression(parent) || t.isOptionalMemberExpression(parent)) &&
-        parent.object === node) ||
       t.isConditional(parent, { test: node }) ||
       t.isBinary(parent, { left: node }) ||
       t.isAssignmentExpression(parent, { left: node })
diff --git a/packages/babel-generator/test/fixtures/parentheses/tagged-template-expression/input.js b/packages/babel-generator/test/fixtures/parentheses/tagged-template-expression/input.js
index a2b14afaa872..c91ad40db835 100644
--- a/packages/babel-generator/test/fixtures/parentheses/tagged-template-expression/input.js
+++ b/packages/babel-generator/test/fixtures/parentheses/tagged-template-expression/input.js
@@ -1,3 +1,8 @@
 (() => {})``;
 (function(){}``);
-(a ? b : c)``;
\ No newline at end of file
+(a ? b : c)``;
+
+function* fn() {
+  (yield)`foo`;
+  (yield f)`foo`;
+}
diff --git a/packages/babel-generator/test/fixtures/parentheses/tagged-template-expression/output.js b/packages/babel-generator/test/fixtures/parentheses/tagged-template-expression/output.js
index 6ddf8f48ab8e..bc4371fbdf61 100644
--- a/packages/babel-generator/test/fixtures/parentheses/tagged-template-expression/output.js
+++ b/packages/babel-generator/test/fixtures/parentheses/tagged-template-expression/output.js
@@ -1,3 +1,8 @@
 (() => {})``;
 (function () {})``;
-(a ? b : c)``;
\ No newline at end of file
+(a ? b : c)``;
+
+function* fn() {
+  (yield)`foo`;
+  (yield f)`foo`;
+}
\ No newline at end of file
diff --git a/packages/babel-generator/test/fixtures/typescript/non-null-parentheses/input.js b/packages/babel-generator/test/fixtures/typescript/non-null-parentheses/input.js
new file mode 100644
index 000000000000..76a1cb8b73e4
--- /dev/null
+++ b/packages/babel-generator/test/fixtures/typescript/non-null-parentheses/input.js
@@ -0,0 +1,16 @@
+(a ? b : c)!;
+(a ? b : c)!.d;
+(a ? b : c!);
+(a ? b : c!).d;
+
+foo!();
+foo()!;
+
+async function* f() {
+  (yield x)!;
+  yield x!;
+  (yield)!;
+
+  (await x)!;
+  (await x!);
+}
diff --git a/packages/babel-generator/test/fixtures/typescript/non-null-parentheses/output.js b/packages/babel-generator/test/fixtures/typescript/non-null-parentheses/output.js
new file mode 100644
index 000000000000..d31e4d1cb7a9
--- /dev/null
+++ b/packages/babel-generator/test/fixtures/typescript/non-null-parentheses/output.js
@@ -0,0 +1,14 @@
+(a ? b : c)!;
+(a ? b : c)!.d;
+a ? b : c!;
+(a ? b : c!).d;
+foo!();
+foo()!;
+
+async function* f() {
+  (yield x)!;
+  yield x!;
+  (yield)!;
+  (await x)!;
+  await x!;
+}
\ No newline at end of file
diff --git a/packages/babel-plugin-proposal-decorators/test/fixtures/transformation/extends-await/output.js b/packages/babel-plugin-proposal-decorators/test/fixtures/transformation/extends-await/output.js
index 8745c2d63feb..298e8ae7e58a 100644
--- a/packages/babel-plugin-proposal-decorators/test/fixtures/transformation/extends-await/output.js
+++ b/packages/babel-plugin-proposal-decorators/test/fixtures/transformation/extends-await/output.js
@@ -15,5 +15,5 @@ async function g() {
       F: A,
       d: []
     };
-  }, (await B));
+  }, await B);
 }
diff --git a/packages/babel-plugin-proposal-decorators/test/fixtures/transformation/extends-yield/output.js b/packages/babel-plugin-proposal-decorators/test/fixtures/transformation/extends-yield/output.js
index 9edec11c4f62..70ef16da8901 100644
--- a/packages/babel-plugin-proposal-decorators/test/fixtures/transformation/extends-yield/output.js
+++ b/packages/babel-plugin-proposal-decorators/test/fixtures/transformation/extends-yield/output.js
@@ -15,5 +15,5 @@ function* g() {
       F: A,
       d: []
     };
-  }, (yield B));
+  }, yield B);
 }
diff --git a/packages/babel-plugin-proposal-pipeline-operator/test/fixtures/minimal/async-arrow/output.js b/packages/babel-plugin-proposal-pipeline-operator/test/fixtures/minimal/async-arrow/output.js
index ca8e5ed0c54d..3f39b0e539df 100644
--- a/packages/babel-plugin-proposal-pipeline-operator/test/fixtures/minimal/async-arrow/output.js
+++ b/packages/babel-plugin-proposal-pipeline-operator/test/fixtures/minimal/async-arrow/output.js
@@ -2,7 +2,7 @@ var _ref, _;
 
 function then(fn) {
   return async value => {
-    return fn((await value));
+    return fn(await value);
   };
 }
 
diff --git a/packages/babel-plugin-proposal-throw-expressions/test/fixtures/stupid-fixture-nesting-folder/await-in-argument/output.js b/packages/babel-plugin-proposal-throw-expressions/test/fixtures/stupid-fixture-nesting-folder/await-in-argument/output.js
index f0d7fa4b5e76..489e10add99a 100644
--- a/packages/babel-plugin-proposal-throw-expressions/test/fixtures/stupid-fixture-nesting-folder/await-in-argument/output.js
+++ b/packages/babel-plugin-proposal-throw-expressions/test/fixtures/stupid-fixture-nesting-folder/await-in-argument/output.js
@@ -1,5 +1,5 @@
 async function test() {
   (function (e) {
     throw e;
-  })(new Error((await 'test')));
+  })(new Error(await 'test'));
 }
diff --git a/packages/babel-plugin-proposal-throw-expressions/test/fixtures/stupid-fixture-nesting-folder/yield-in-argument/output.js b/packages/babel-plugin-proposal-throw-expressions/test/fixtures/stupid-fixture-nesting-folder/yield-in-argument/output.js
index f8739d12fbb4..5fbea228f860 100644
--- a/packages/babel-plugin-proposal-throw-expressions/test/fixtures/stupid-fixture-nesting-folder/yield-in-argument/output.js
+++ b/packages/babel-plugin-proposal-throw-expressions/test/fixtures/stupid-fixture-nesting-folder/yield-in-argument/output.js
@@ -1,5 +1,5 @@
 function* test() {
   (function (e) {
     throw e;
-  })(new Error((yield 'test')));
+  })(new Error(yield 'test'));
 }
diff --git a/packages/babel-plugin-transform-async-to-generator/test/fixtures/regression/8783/output.js b/packages/babel-plugin-transform-async-to-generator/test/fixtures/regression/8783/output.js
index 39a8061003c9..819b9a4b22a9 100644
--- a/packages/babel-plugin-transform-async-to-generator/test/fixtures/regression/8783/output.js
+++ b/packages/babel-plugin-transform-async-to-generator/test/fixtures/regression/8783/output.js
@@ -4,7 +4,7 @@ function _asyncToGenerator(fn) { return function () { var self = this, args = ar
 
 (function () {
   var _poll = _asyncToGenerator(function* () {
-    console.log((yield Promise.resolve('Hello')));
+    console.log(yield Promise.resolve('Hello'));
     setTimeout(poll, 1000);
   });