Research of many topics in intelligent transportation system (ITS) is the essential study in automobile domain. Adaptive cruise control (ACC) is one of the advanced topics. This paper describes the longitudinal control of the vehicle by using fuzzy logic based approach. The purpose of this paper is to design Fuzzy logic based Adaptive cruise control (ACC). Based on the classical controlling techniques a fuzzy logic based Accelerator controller has been developed. The compared output of the acceleration is used by another controller to decide the speed of the vehicle. Fuzzy rules have been designed according to the input to get the desired output. This controller aims to keep a safe distance from the preceding vehicle by adapting the speed of the host vehicle. Brake setting and throttle setting are the two input variables of the vehicle. Graphical user interface LabVIEW is used in order to investigate the performance of the designed controller.