diff --git a/1064.fixed-point.js b/1064.fixed-point.js
new file mode 100644
index 00000000..93f18bdb
--- /dev/null
+++ b/1064.fixed-point.js
@@ -0,0 +1,17 @@
+/* URL of this problem
+ * https://leetcode.com/problems/fixed-point/description/
+ *
+ * @param {number[]} arr
+ * @return {number}
+ */
+
+var fixedPoint = function(arr) {
+    for (let i = 0; i < arr.length; i++) {
+        if (i === arr[i]) {
+            return i;
+        }
+    }
+    return -1;
+};
+
+module.exports = fixedPoint;
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diff --git a/fixedPoint.test.js b/fixedPoint.test.js
new file mode 100644
index 00000000..5486f6ca
--- /dev/null
+++ b/fixedPoint.test.js
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+const fixedPoint = require("./1064.fixed-point");
+
+test("Return the smallest index if it exists in the input arr", () => {
+    expect(fixedPoint([-10,-5,0,3,7])).toBe(3);
+});
+
+test("Return -1 if an index that satisfies 'arr[i] == i' does not exist in the input arr", () => {
+    expect(fixedPoint([-10,-5,0,3,7])).toBe(3);
+});
+
+test("Return -1 if the input arr is empty", () => {
+    expect(fixedPoint([])).toBe(-1);
+});
+
+test("Return -1 if the input arr is made of Infinity", () => {
+    expect(fixedPoint([Infinity, Infinity, Infinity])).toBe(-1);
+});
+
+test("Return -1 if the input arr is made of -Infinity", () => {
+    expect(fixedPoint([-Infinity, -Infinity, -Infinity])).toBe(-1);
+});
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