A polyhedral rolling mechanism is characterized by comprising an upper platform, a lower platform, a first branched chain, a second branched chain, a third branched chain and a fourth branched chain. Structures and sizes of the upper platform and the lower platform are identical, and structures and sizes of the first branched chain, the second branched chain, the third branched chain and the fourth branched chain are identical; the upper end of the first branched chain and an A1 side of the upper platform are fixed, the lower end of the first branched chain and a B1 side of the lower platform are fixed; the upper end of the second branched chain and an A2 side of the upper platform are fixed, and the lower end of the second branched chain and a B2 side of the lower platform are fixed; the upper end of the third branched chain and an A3 side of the upper platform are fixed, and the lower end of the third branched chain and a B3 side of the lower platform are fixed; the upper end of the fourth branched chain and an A4 side of the upper platform are fixed, and the lower end of the fourth branched chain and a B4 side of the lower platform are fixed; and the polyhedral rolling mechanism is formed through the connection. According to the polyhedral rolling mechanism, a closed chain structure is utilized, the robot rigidity is enhanced, loading capacity is improved, structure and control are simple and moving and veering in a plane can be achieved.