diff --git a/config/typescript.js b/config/typescript.js
index 52ca9f5b35..55f2b7e897 100644
--- a/config/typescript.js
+++ b/config/typescript.js
@@ -2,7 +2,7 @@
  * Adds `.jsx`, `.ts` and `.tsx` as an extension, and enables JSX/TSX parsing.
  */
 
-const allExtensions = ['.ts', '.tsx', '.d.ts', '.js', '.jsx'];
+const allExtensions = ['.ts', '.tsx', '.js', '.jsx'];
 
 module.exports = {
 
@@ -24,6 +24,5 @@ module.exports = {
 
     // TypeScript compilation already ensures that named imports exist in the referenced module
     'import/named': 'off',
-    'import/no-unresolved': 'off',
   },
 };
diff --git a/src/rules/no-unresolved.js b/src/rules/no-unresolved.js
index 236692b6e1..98539a822d 100644
--- a/src/rules/no-unresolved.js
+++ b/src/rules/no-unresolved.js
@@ -24,6 +24,11 @@ module.exports = {
 
   create(context) {
     function checkSourceValue(source) {
+      // ignore type-only imports
+      if (source.parent.importKind === 'type') {
+        return;
+      }
+
       const shouldCheckCase = !CASE_SENSITIVE_FS
         && (!context.options[0] || context.options[0].caseSensitive !== false);