Abstract-This research suggests the velocity controller with advanced smart cruise control (ASCC) with stop & go control considering the surface friction coefficient and applying a safety distance. A safety distance affects quality of cruise control. If a safety distance is too short, the probability to cause a collision gets greater whereas if it is too long, it can cause traffic congestion. Thus, calculating the optimal safety distance is very important. In this study, we used fitting functions to obtain a basic safety distance and then added the μ-safety distance, considering friction coefficient and relative velocity, to calculate final safety distance. We invented ASCC and stop & go control by considering velocity of vehicle to maintain the safety distance and relative velocity at the same time. Carsim was used for simulation and we found that while a vehicle with the velocity controller, calculating the velocity and location difference between preceding and following vehicles with four friction coefficients, it keeps a safety distance.