A touch-sensing electronic device with a press-sensing function includes a cover lens formed with a shielding structure at a first side thereof; a display formed with a first group of sensing electrodes and a second group of sensing electrodes at a second side thereof, wherein the second group of sensing electrodes are spaced from and electrically shielded with the shielding structure while the first group of sensing electrodes are unshielded from the shielding structure; and a control chip electrically connected to both the first group of sensing electrodes and the second group. The control chip senses a first capacitance change occurring in response to a touch-sensing operation at a third side of the cover lens, which is opposite to the second side and senses a second capacitance change occurring in response to a press-sensing operation at the third side of the cover lens.