We give a demonstration that gravito-magnetism and non-commutative geometry predict an orbit precession for a test particle moving in the central force obeying the inverse-square law. To this end, the two equations of motion for a test particle are compared with each other, one in the non-commutative space involving a static solid sphere and the other in the usual space involving a slowly rotating sphere. The comparison indicates thatthe non-commutative effect is similar to the intrinsic gravitomagnetic contribution to the orbit precession.