diff --git a/plugins/cleanupIds.js b/plugins/cleanupIds.js
index 55bee0e92..7a30591c8 100644
--- a/plugins/cleanupIds.js
+++ b/plugins/cleanupIds.js
@@ -232,10 +232,9 @@ export const fn = (_root, params) => {
                 const value = element.attributes[name];
                 if (value.includes('#')) {
                   // replace id in href and url()
-                  element.attributes[name] = value.replace(
-                    `#${encodeURI(id)}`,
-                    `#${currentIdString}`,
-                  );
+                  element.attributes[name] = value
+                    .replace(`#${encodeURI(id)}`, `#${currentIdString}`)
+                    .replace(`#${id}`, `#${currentIdString}`);
                 } else {
                   // replace id in begin attribute
                   element.attributes[name] = value.replace(
diff --git a/test/plugins/cleanupIds.26.svg.txt b/test/plugins/cleanupIds.26.svg.txt
new file mode 100644
index 000000000..6a1e23d22
--- /dev/null
+++ b/test/plugins/cleanupIds.26.svg.txt
@@ -0,0 +1,25 @@
+Should handle non-ASCII IDs and resolve not correctly URI encoded references.
+
+See: https://github.com/svg/svgo/issues/1981
+
+===
+
+<svg xmlns="http://www.w3.org/2000/svg">
+    <defs>
+        <linearGradient id="渐变_1" x1="0%" y1="0%" x2="100%" y2="0%">
+            <stop stop-color="#5a2100" />
+        </linearGradient>
+    </defs>
+    <rect x="30" y="30" height="150" width="370" fill="url(#渐变_1)" />
+</svg>
+
+@@@
+
+<svg xmlns="http://www.w3.org/2000/svg">
+    <defs>
+        <linearGradient id="a" x1="0%" y1="0%" x2="100%" y2="0%">
+            <stop stop-color="#5a2100"/>
+        </linearGradient>
+    </defs>
+    <rect x="30" y="30" height="150" width="370" fill="url(#a)"/>
+</svg>