How to make Bitmap compress without change the bitmap size?

Are you sure it is smaller?

Bitmap original = BitmapFactory.decodeStream(getAssets().open("1024x768.jpg"));
ByteArrayOutputStream out = new ByteArrayOutputStream();
original.compress(Bitmap.CompressFormat.PNG, 100, out);
Bitmap decoded = BitmapFactory.decodeStream(new ByteArrayInputStream(out.toByteArray()));

Log.e("Original   dimensions", original.getWidth()+" "+original.getHeight());
Log.e("Compressed dimensions", decoded.getWidth()+" "+decoded.getHeight());

Gives

12-07 17:43:36.333: E/Original   dimensions(278): 1024 768
12-07 17:43:36.333: E/Compressed dimensions(278): 1024 768

Maybe you get your bitmap from a resource, in which case the bitmap dimension will depend on the phone screen density

Bitmap bitmap=((BitmapDrawable)getResources().getDrawable(R.drawable.img_1024x768)).getBitmap();
Log.e("Dimensions", bitmap.getWidth()+" "+bitmap.getHeight());

12-07 17:43:38.733: E/Dimensions(278): 768 576

If you are using PNG format then it will not compress your image because PNG is a lossless format. use JPEG for compressing your image and use 0 instead of 100 in quality.

Quality Accepts 0 - 100

0 = MAX Compression (Least Quality which is suitable for Small images)

100 = Least Compression (MAX Quality which is suitable for Big images)