Abstract: To realistically integrate haptic feedback in real time during virtual surgery simulation,three haptic models have been proposed and realized,including pushing operation model based on intermediate virtual plane,pulling operation model based on adhering force and needle puncturing operation model based on non-linear viscoelasticity force.Using these models,the operations of retractor,tweezers and needle are simulated.Under the force constraints in adjacent tissue layers,multi-tissue deformation model is also developed.This deformation model avoided the layers puncturing phenomenon in surface mass-spring model.Furthermore,the haptic interaction models with multi-tissue deformation have been integrated into a virtual craniofacial surgery framework to assist medicine training.A set of experiments about multi-tissue identification and computational efficiency are conducted.The experimental results show that the high accuracy rates of multi-tissue identification are achieved via haptic feedback in pushing and needle puncturing operations.The high computational rate of force and deformation can be guaranteed.