Fuel efficiency necessitates the use of light weight vehicle parts. Conventional researches have shown that an electro wedge brake (EWB) can provide good braking efficiency such as the generation of a large braking force with a small power motor. To further reduce the weight of a brake system, it is necessary to reduce the weight of the structural parts. The braking force is proportional to the clamping force with the coefficient of friction between the brake pad and disc. The clamping force in a brake system is the caliper's stiffness multiplied by the displacement. Therefore, if the caliper has a high stiffness, the EWB size can be compact, with small displacement. Toward this goal, in this paper, we provide a simple design review of the wedge profile related to the caliper stiffness, and design of caliper stiffness for reducing the weight of an electro wedge brake.