A right handed or left handed sanding block can be provided individually or as a mirror image pair. Each block includes a grasp handle and a fastening surface engaging a replaceable sanding pad. Each handle includes a pair of cove box channels to fit the fingers of the user. These channels have forward and rear finger stops located at opposite sides. The channel positions are mirror image reversed for the right hand and left hand blocks. The forward stop provides a rest for the thumb and the front vertical surface provides a rest for the index finger. A rear finger stop provides a rest for a tip of another finger. The block is a truncated rectangle with an offset edge. The short side of the block provides a safety harbor clearance when the other hand of the user grasps the work piece.