diff --git a/lib/rules/indent.js b/lib/rules/indent.js
index 82268975dfb..fb143806cf2 100644
--- a/lib/rules/indent.js
+++ b/lib/rules/indent.js
@@ -1114,28 +1114,29 @@ module.exports = {
                 const tokenBeforeObject = sourceCode.getTokenBefore(node.object, token => astUtils.isNotOpeningParenToken(token) || parameterParens.has(token));
                 const firstObjectToken = tokenBeforeObject ? sourceCode.getTokenAfter(tokenBeforeObject) : sourceCode.ast.tokens[0];
                 const lastObjectToken = sourceCode.getTokenBefore(firstNonObjectToken);
+                const firstPropertyToken = node.computed ? firstNonObjectToken : secondNonObjectToken;
 
                 if (node.computed) {
 
                     // For computed MemberExpressions, match the closing bracket with the opening bracket.
                     offsets.matchIndentOf(firstNonObjectToken, sourceCode.getLastToken(node));
+                    offsets.setDesiredOffsets(getTokensAndComments(node.property), firstNonObjectToken, 1);
                 }
 
-                if (typeof options.MemberExpression === "number") {
-                    const firstPropertyToken = node.computed ? firstNonObjectToken : secondNonObjectToken;
+                /*
+                 * If the object ends on the same line that the property starts, match against the last token
+                 * of the object, to ensure that the MemberExpression is not indented.
+                 *
+                 * Otherwise, match against the first token of the object, e.g.
+                 * foo
+                 *   .bar
+                 *   .baz // <-- offset by 1 from `foo`
+                 */
+                const offsetBase = lastObjectToken.loc.end.line === firstPropertyToken.loc.start.line
+                    ? lastObjectToken
+                    : firstObjectToken;
 
-                    /*
-                     * If the object ends on the same line that the property starts, match against the last token
-                     * of the object, to ensure that the MemberExpression is not indented.
-                     *
-                     * Otherwise, match against the first token of the object, e.g.
-                     * foo
-                     *   .bar
-                     *   .baz // <-- offset by 1 from `foo`
-                     */
-                    const offsetBase = lastObjectToken.loc.end.line === firstPropertyToken.loc.start.line
-                        ? lastObjectToken
-                        : firstObjectToken;
+                if (typeof options.MemberExpression === "number") {
 
                     // Match the dot (for non-computed properties) or the opening bracket (for computed properties) against the object.
                     offsets.setDesiredOffset(firstNonObjectToken, offsetBase, options.MemberExpression);
@@ -1150,6 +1151,9 @@ module.exports = {
                     // If the MemberExpression option is off, ignore the dot and the first token of the property.
                     offsets.ignoreToken(firstNonObjectToken);
                     offsets.ignoreToken(secondNonObjectToken);
+
+                    // To ignore the property indentation, ensure that the property tokens depend on the ignored tokens.
+                    offsets.matchIndentOf(offsetBase, firstNonObjectToken);
                     offsets.matchIndentOf(firstNonObjectToken, secondNonObjectToken);
                 }
             },
diff --git a/tests/lib/rules/indent.js b/tests/lib/rules/indent.js
index 335e8882f00..86e38a8ea05 100644
--- a/tests/lib/rules/indent.js
+++ b/tests/lib/rules/indent.js
@@ -3376,6 +3376,23 @@ ruleTester.run("indent", rule, {
             `,
             options: [4, { MemberExpression: "off" }]
         },
+        {
+            code: unIndent`
+                  foo = bar(
+                  ).baz(
+                  )
+            `,
+            options: [4, { MemberExpression: "off" }]
+        },
+        {
+            code: unIndent`
+                foo[
+                    bar ? baz :
+                    qux
+                ]
+            `,
+            options: [4, { flatTernaryExpressions: true }]
+        },
         {
             code: unIndent`
                   foo