diff --git a/Levenshtein_Edit_Distance.py b/Levenshtein_Edit_Distance.py
new file mode 100644
index 0000000..1d98ac6
--- /dev/null
+++ b/Levenshtein_Edit_Distance.py
@@ -0,0 +1,14 @@
+def edit_distance(str1, str2): #input is 2 strings that we will be comparing
+
+  # create a matrix that has length str2 + 1 columns and length str1 + 1 rows
+  D = [[0 for i in range(len(str2)+1)] for j in range(len(str1)+1)]
+
+  #initialize first row - how many deletions are needed to get an empty list
+  for i in range(len(str1)+1):
+    D[i][0] = i
+
+  #initialize first column - how many insertions to go from empty list to str2
+  for j in range(len(str2)+1):
+    D[0][j] = j
+
+  # Fill in rest of matrix with recursive case