Abstract: An artificial viscosity splitting strategy for Lagrangian algorithm of two-dimensional three-temperature radiation magnetohydrodynamics is proposed to solves unphysical pinnacle problem in ion temperature around shock wave as edge viscosity and tensor viscosity are used. The strategy divides kinetic ernergy dissipated by artificial viscosity between electron interior energy and ion interior energy according to ratio of electron pressure and ion pressure. It is realized in two-dimensional three-temperature radiation magnetohydrodynamics code MARED and is used to simulate imploding process of Z-pinch. Unphysical pinnacle in ion temperature around shock wave is removed.