diff --git a/lib/rules/no-extra-parens.js b/lib/rules/no-extra-parens.js
index 6c3198b5f02..c9278f2d0e4 100644
--- a/lib/rules/no-extra-parens.js
+++ b/lib/rules/no-extra-parens.js
@@ -686,6 +686,13 @@ module.exports = {
 
             CallExpression: checkCallNew,
 
+            ClassBody(node) {
+                node.body
+                    .filter(member => member.type === "MethodDefinition" && member.computed &&
+                        member.key && hasExcessParens(member.key) && precedence(member.key) >= PRECEDENCE_OF_ASSIGNMENT_EXPR)
+                    .forEach(member => report(member.key));
+            },
+
             ConditionalExpression(node) {
                 if (isReturnAssignException(node)) {
                     return;
diff --git a/tests/lib/rules/no-extra-parens.js b/tests/lib/rules/no-extra-parens.js
index 7be7d6e9e2d..6c6eeb2a11b 100644
--- a/tests/lib/rules/no-extra-parens.js
+++ b/tests/lib/rules/no-extra-parens.js
@@ -160,6 +160,13 @@ ruleTester.run("no-extra-parens", rule, {
         "const {[a]:b=1} = {}",
         "const {[(a, b)]:c} = {}",
         "const {a, ...b} = {}",
+        "class foo {}",
+        "class foo { constructor(){} a(){} get b(){} set b(bar){} get c(){} set d(baz){} static e(){} }",
+        "class foo { [a](){} get [b](){} set [b](bar){} get [c](){} set [d](baz){} static [e](){} }",
+        "class foo { [(a,b)](){} }",
+        "class foo { a(){} [b](){} c(){} [(d,e)](){} }",
+        "class foo { [(a,b)](){} c(){} [d](){} e(){} }",
+        "const foo = class { constructor(){} a(){} get b(){} set b(bar){} get c(){} set d(baz){} static e(){} }",
 
         // ExpressionStatement restricted productions
         "({});",
@@ -553,6 +560,22 @@ ruleTester.run("no-extra-parens", rule, {
         invalid("const {a, b:c, [(d+e)]:f, [(g,h)]:i, [j]:k} = {}", "const {a, b:c, [d+e]:f, [(g,h)]:i, [j]:k} = {}", "BinaryExpression", 1),
         invalid("const {[a+(b*c)]:d} = {}", "const {[a+b*c]:d} = {}", "BinaryExpression", 1),
         invalid("const {[(a, (b+c))]:d} = {}", "const {[(a, b+c)]:d} = {}", "BinaryExpression", 1),
+        invalid("class foo { [(a)](){} }", "class foo { [a](){} }", "Identifier"),
+        invalid("class foo {*[(Symbol.iterator)]() {}}", "class foo {*[Symbol.iterator]() {}}", "MemberExpression"),
+        invalid("class foo { get [(a)](){} }", "class foo { get [a](){} }", "Identifier"),
+        invalid("class foo { set [(a)](bar){} }", "class foo { set [a](bar){} }", "Identifier"),
+        invalid("class foo { static [(a)](bar){} }", "class foo { static [a](bar){} }", "Identifier"),
+        invalid("class foo { [(a=b)](){} }", "class foo { [a=b](){} }", "AssignmentExpression"),
+        invalid("class foo { constructor (){} [(a+b)](){} }", "class foo { constructor (){} [a+b](){} }", "BinaryExpression"),
+        invalid("class foo { [(a+b)](){} constructor (){} }", "class foo { [a+b](){} constructor (){} }", "BinaryExpression"),
+        invalid("class foo { [(a+b)](){} c(){} }", "class foo { [a+b](){} c(){} }", "BinaryExpression"),
+        invalid("class foo { a(){} [(b+c)](){} d(){} }", "class foo { a(){} [b+c](){} d(){} }", "BinaryExpression"),
+        invalid("class foo { [(a+b)](){} [c](){} }", "class foo { [a+b](){} [c](){} }", "BinaryExpression"),
+        invalid("class foo { [a](){} [(b+c)](){} [d](){} }", "class foo { [a](){} [b+c](){} [d](){} }", "BinaryExpression"),
+        invalid("class foo { [(a+b)](){} [(c,d)](){} }", "class foo { [a+b](){} [(c,d)](){} }", "BinaryExpression"),
+        invalid("class foo { [(a,b)](){} [(c+d)](){} }", "class foo { [(a,b)](){} [c+d](){} }", "BinaryExpression"),
+        invalid("class foo { [a+(b*c)](){} }", "class foo { [a+b*c](){} }", "BinaryExpression"),
+        invalid("const foo = class { [(a)](){} }", "const foo = class { [a](){} }", "Identifier"),
         invalid(
             "var foo = (function*() { if ((yield foo())) { return; } }())",
             "var foo = (function*() { if (yield foo()) { return; } }())",