diff --git a/Longest_Common_Subseq b/Longest_Common_Subseq
new file mode 100644
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--- /dev/null
+++ b/Longest_Common_Subseq
@@ -0,0 +1,36 @@
+/* An implementation of LCS problem */
+#include <bits/stdc++.h> 
+using namespace std; 
+
+int max(int a, int b); 
+
+/* Returns length of LCS for X[0..m-1], Y[0..n-1] */
+int lcs( char *X, char *Y, int m, int n ) 
+{ 
+	if (m == 0 || n == 0) 
+		return 0; 
+	if (X[m-1] == Y[n-1]) 
+		return 1 + lcs(X, Y, m-1, n-1); 
+	else
+		return max(lcs(X, Y, m, n-1), lcs(X, Y, m-1, n)); 
+} 
+
+/* Utility function to get max of 2 integers */
+int max(int a, int b) 
+{ 
+	return (a > b)? a : b; 
+} 
+
+/* Driver code */
+int main() 
+{ 
+	char X[] = "AGGTAB"; 
+	char Y[] = "GXTXAYB"; 
+	
+	int m = strlen(X); 
+	int n = strlen(Y); 
+	
+	cout<<"Length of LCS is "<< lcs( X, Y, m, n ) ; 
+	
+	return 0; 
+}