Based on the differential requirements for friction performance of wet clutch coupling pair under hydrodynamic, mixed and boundary lubrication states, a design of concave-convex composite texture on steel sheet surface is proposed and a theoretical lubrication model is established. Simulation results indicate that suitable composite texture can regulate and control tribological performance during the engagement process. Experimental results demonstrate that the concave-convex composite texture design can reduce friction coefficient by about 5.0%-5.5% during the early engagement with high-speed sliding, while increase it by approximately 37.4%-47.7% at the later engagement phase with low-speed sliding. This validates the comprehensive effect of composite texture in reducing film shear friction during hydrodynamic lubrication stage and increasing friction due to anchoring during boundary lubrication stage.