diff --git a/src/__tests__/format.spec.ts b/src/__tests__/format.spec.ts
index 3bf51be..beb2115 100644
--- a/src/__tests__/format.spec.ts
+++ b/src/__tests__/format.spec.ts
@@ -222,4 +222,7 @@ describe("format with a timezone", () => {
       })
     ).toBe("02:30:00+0000")
   })
+  it("can render a double character zero with leading zeros in zh (#41)", () => {
+    expect(format("2022-04-10", "YYYY-MM", "zh")).toBe("2022-04")
+  })
 })
diff --git a/src/common.ts b/src/common.ts
index 3d1a9bc..e530e8f 100644
--- a/src/common.ts
+++ b/src/common.ts
@@ -177,11 +177,9 @@ export function fill(
     if (partName === "hour" && token === "H") {
       return value.replace(/^0/, "")
     }
-    if (
-      (partName === "minute" || partName === "second") &&
-      (token === "mm" || token === "ss") &&
-      value.length === 1
-    ) {
+    if (["mm", "ss", "MM"].includes(token) && value.length === 1) {
+      // Some tokens are supposed to have leading zeros, but Intl doesn't
+      // always return them, depending on the locale and the format.
       return `0${value}`
     }
     if (partName === "dayPeriod") {