The talk will study the evolution of an ellipsoid particle in an incompressible, Newtonian shear flow by considering the fluid slipping at solid surface. A continuum hydrodynamic model is constructed, using phase-field diffuse-interface modeling for fluid-solid interface. Fluid slipping at solid particle surface is incorporated into the model by a decrease in the shear viscosity in the interfacial region. Numerical simulations will be given to show the effect of the fluid slipping on the orientational motion of the ellipsoid particle.