A cover structure is disposed at the electronic device. The electronic device includes a frame with an opening and a power supply. The cover structure includes a cover and a pivotal portion. The cover includes an inner surface, an outer surface, and a touch portion. The pivotal portion includes a pivotal part and a trigger. The pivotal part is located on the inner surface. The trigger is located at the opening of the frame and connected with the pivotal part. The touch portion corresponds to the opening. When the touch portion is pressed, the pivotal part drives the trigger to trigger the power supply to drive the electronic device.