diff --git a/Data Structures and Algorithms/README.md b/Data Structures and Algorithms/README.md
index ca9c727f..29a0afc6 100644
--- a/Data Structures and Algorithms/README.md	
+++ b/Data Structures and Algorithms/README.md	
@@ -8,6 +8,8 @@
 
 - Bogo Sort
 
+- Cocktail Sort
+
 - Counting Sort
 
 - Linear search (for numbers)
@@ -36,6 +38,8 @@
 
 - Recursive Binary Search
 
+- Shell Sort
+
 - Selection Sort
 
 - Binary Tree traversal
diff --git a/Data Structures and Algorithms/Sorting Algorithms/cocktail_sort.py b/Data Structures and Algorithms/Sorting Algorithms/cocktail_sort.py
new file mode 100644
index 00000000..6807ce99
--- /dev/null
+++ b/Data Structures and Algorithms/Sorting Algorithms/cocktail_sort.py	
@@ -0,0 +1,27 @@
+import sys 
+
+def cocktail_sort(arr):
+    n = len(arr)
+    swapped = True
+    start = 0
+    end = n - 1
+    while swapped:
+        swapped = False
+        
+        for i in range(start, end):
+            if arr[i] > arr[i + 1]:
+                arr[i], arr[i + 1] = arr[i + 1], arr[i]
+                swapped = True
+        if not swapped:
+            break
+        swapped = False
+        end -= 1
+        
+        for i in range(end - 1, start - 1, -1):
+            if arr[i] > arr[i + 1]:
+                arr[i], arr[i + 1] = arr[i + 1], arr[i]
+                swapped = True
+        start += 1
+    return arr
+
+print(cocktail_sort([5, 8, 1, 4, 7, 9, 6, 3, 2]))
diff --git a/Data Structures and Algorithms/Sorting Algorithms/shell_sort.py b/Data Structures and Algorithms/Sorting Algorithms/shell_sort.py
new file mode 100644
index 00000000..d84fbb29
--- /dev/null
+++ b/Data Structures and Algorithms/Sorting Algorithms/shell_sort.py	
@@ -0,0 +1,18 @@
+def shell_sort(arr):
+    n = len(arr)
+    gap = n // 2  # gap size 
+
+    while gap > 0:
+        for i in range(gap, n):
+            temp = arr[i]
+            j = i
+            # Perform insertion sort for the elements separated by the gap
+            while j >= gap and arr[j - gap] > temp:
+                arr[j] = arr[j - gap]
+                j -= gap
+            arr[j] = temp
+        gap //= 2 
+
+    return arr
+
+print(shell_sort([5, 8, 1, 4, 7, 9, 6, 3, 2]))