The road-tire friction coefficient has important role in vehicle dynamic control systems like adaptive cruise control system (ACC), vehicle dynamic control (VDC), direct yaw-torque control system (DYC) etc. This paper introduces a new predictive methodology for the estimation of road-tire friction coefficient by using Dugoff tire model and the extended Kalman filter. At the same time, a simulation verification of the road/tire coefficient estimation has been made using the software CarSim7.0. The result shows that the EKF estimation accuracy of road/tire friction coefficient is satisfied very well.