The invention provides a novel structural redundancy parallel robot mechanism. By adoption of the novel structural redundancy parallel robot mechanism, the defects of the prior art can be overcome, and two-rotation and two-horizontal-movement posture transformation of a working platform in the space is achieved, and the parallel mechanism has the advantage that singular postures of the mechanism are avoided, and the force transmission performance of the mechanism is improved. The overall structure of the mechanism is shown in the drawing of the abstract, and the mechanism is formed by sequentially arranging four branch chains in a 90-degree mode. The four branch chains are of two types substantially, the two branch chains of each type are distributed symmetrically, and every two branch chains located in opposite positions of a kinematic pair are of completely identical structures. The two-rotation and two-horizontal-movement structural redundancy parallel mechanism is simple in structure and easy to product and machine and can be applied to the fields of machining of complex curved surfaces of machine tools, material transferring, simulation platforms and the like.