A robotic system having movable mechanism of a non-planar inner projection is provided. It comprises a non-planar projection surface, a servo motor, an inner projection element, and a support frame. The servo motor is connected to the non-planar projection surface, and the non-planar projection surface can be rotated synchronously by the servo motor drive. The inner projection element is disposed relative to the non-planar projection surface, the inner projection element generates a target image, and the target image is projected onto the non-planar projection surface to form a display area, and the display area has a fixed boundary. The servo motor and the inner projection element are disposed on the support frame, and when the non-planar projection surface is synchronously rotated by the servo motor, the inner projection element also rotates synchronously.