In this article Proportional Integral Derivative Acceleration (PIDA) controller has been presented with Jaya Optimization Algorithm (JOA) to improve that perform for given Cruise Control System. For made greatest performance for the proposed model to make a comparison with the conventional P-I-D controller that could being achieve such the suitable stability for resolve the execution for overall Cruise Control System, additionally to create a step response of change compared with different optimized algorithms like PSO algorithm. The Jaya Optimization Algorithm (JOA) with P-I-D-A controller it is utilized for solve that efficiency work for Cruise System model for reduce overall error for controlled system. The controlled model had been achieved using MATLAB-Simulink.