diff --git a/Sorting/BubbleSort.java b/Sorting/BubbleSort.java
new file mode 100644
index 000000000000..511c8dc6d653
--- /dev/null
+++ b/Sorting/BubbleSort.java
@@ -0,0 +1,40 @@
+/**
+ * BubbleSort.java
+ * This program implements the Bubble Sort algorithm.
+ * Time Complexity: O(n^2)
+ */
+
+public class BubbleSort {
+
+    public static void bubbleSort(int[] arr) {
+        int n = arr.length;
+        boolean swapped;
+        for (int i = 0; i < n - 1; i++) {
+            swapped = false;
+
+            for (int j = 0; j < n - i - 1; j++) {
+                if (arr[j] > arr[j + 1]) {
+                    // swap arr[j] and arr[j+1]
+                    int temp = arr[j];
+                    arr[j] = arr[j + 1];
+                    arr[j + 1] = temp;
+
+                    swapped = true;
+                }
+            }
+
+            // If no two elements were swapped, array is sorted
+            if (!swapped)
+                break;
+        }
+    }
+
+    public static void main(String[] args) {
+        int[] arr = {64, 25, 12, 22, 11};
+        bubbleSort(arr);
+        System.out.println("Sorted array:");
+        for (int num : arr) {
+            System.out.print(num + " ");
+        }
+    }
+}
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diff --git a/Sorting/InsertionSort.java b/Sorting/InsertionSort.java
new file mode 100644
index 000000000000..8da2ba4c5331
--- /dev/null
+++ b/Sorting/InsertionSort.java
@@ -0,0 +1,33 @@
+/**
+ * InsertionSort.java
+ * This program implements the Insertion Sort algorithm.
+ * Time Complexity: O(n^2) in worst case, O(n) in best case (already sorted).
+ */
+
+public class InsertionSort {
+
+    public static void insertionSort(int[] arr) {
+        // Loop from the second element to the end
+        for (int i = 1; i < arr.length; i++) {
+            int key = arr[i];  // Store the current element to be inserted
+            int j = i - 1;
+
+            // Move elements of arr[0..i-1], that are greater than key,
+            // to one position ahead of their current position
+            while (j >= 0 && arr[j] > key) {
+                arr[j + 1] = arr[j];  // Shift element to the right
+                j = j - 1;
+            }
+            arr[j + 1] = key;  // Insert the key into its correct position
+        }
+    }
+
+    public static void main(String[] args) {
+        int[] arr = {29, 10, 14, 37, 13};
+        insertionSort(arr);
+        System.out.println("Sorted array:");
+        for (int num : arr) {
+            System.out.print(num + " ");
+        }
+    }
+}
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