The calculation of gravitational scattering of particles with various spin configurations in the framework of effective quantum field theory of general relativity is presented. We find that the long-range quantum and classical corrections to the spin-independent piece and the spin–orbit coupling piece of the scattering amplitude and the scattering potential are universal for different spin configurations, which leads us to propose this universality to be true for arbitrary spins. Furthermore, we give the leading corrections to the spin–spin coupling, and a comparison with scattering in QED is made.