A shape compliant gripper with which an atypical object having various shapes, sizes and materials can be picked. The shape compliant gripper comprises a body and a shape compliant module disposed on the body and having rigidity capable of being variably controlled. Further, the shape compliant module comprises a magnetorheological elastomer, a magnet part, and a control part for controlling a position of the magnet part with respect to the magnetorheological elastomer.