The invention relates to a two-rotation and one-movement parallel mechanism which is used in the decoupling of the virtual axis machine and robot, consisting of a frame (1), a moving platform (3) and three motion branch chains which connect the frame (1) and the moving platform (3). The motion branch chains (2a) and (2b) have the same structure which comprises revolute joint (21),(24), shifting pair (22),(25), spherical joint (23),(26) and the member, wherein junction of the motion branch chain(2c) and the frame is a vertex of a right angle. With only a few kinematic pairs, the mechanism has the advantages of simple structure, easy installation, small moment of inertia and fast motion response. Basically, single output degree of freedom only needs to control single driving unit. With easy calibration and control, not only the movement control is more precise but also the development cost and cycle is greatly lowered.