diff --git a/Backtracking/StableMatching.js b/Backtracking/StableMatching.js
new file mode 100644
index 0000000000..fee3145ec3
--- /dev/null
+++ b/Backtracking/StableMatching.js
@@ -0,0 +1,65 @@
+// This is the Stable Matching Gale Shapley Algorithm 
+// Gale Shapley describes the method of Stable One to One matching
+
+function initFreeMen() {
+ for (let man in preferredRankingMen) {
+ freeMen.push(man);
+ }
+}
+
+function stableMatch() {
+ while (freeMen.length> 0) {
+ for (let man of freeMen) {
+ startMatching(man);
+ }
+ }
+}
+
+function startMatching(man) {
+ for (let woman of preferredRankingMen[man]) {
+ const takenMatch = temporaryEngagement.find((couple) => woman === couple[1]);
+
+ if (!takenMatch) {
+ temporaryEngagement.push([man, woman]);
+ freeMen = freeMen.filter((m) => m !== man);
+ break;
+ } else {
+ const currentGuy = takenMatch[0];
+ const currentGuyIndex = preferredRankingWomen[woman].indexOf(currentGuy);
+ const potentialGuyIndex = preferredRankingWomen[woman].indexOf(man);
+
+ if (currentGuyIndex> potentialGuyIndex) {
+ freeMen = freeMen.filter((m) => m !== man);
+ freeMen.push(currentGuy);
+ takenMatch[0] = man;
+ break;
+ }
+ }
+ }
+}
+
+const preferredRankingMen = {
+ 'Alice': ['Frank', 'Eva', 'Dave'],
+ 'Bob': ['Frank', 'Dave', 'Eva'],
+ 'Carol': ['Dave', 'Eva', 'Frank']
+};
+
+const preferredRankingWomen = {
+ 'Dave': ['Carol', 'Alice', 'Bob'],
+ 'Eva': ['Alice', 'Bob', 'Carol'],
+ 'Frank': ['Carol', 'Alice', 'Bob']
+};
+
+// This will store all the paired men and women
+// until the loop ends
+// This array will store the current engagements in the format [man, woman]
+const temporaryEngagement = [];
+
+// This will store all the men who are yet
+// to be paired and are still single
+// Initially, all the men are considered free and added to this array.
+let freeMen = [];
+
+initFreeMen();
+stableMatch();
+console.log("Final Matching:", temporaryEngagement);
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