The present paper proposes a new, simple and effective SISO adaptive PID controller with a time-delay compensator of Smith-predictor type. Analyses show that the characteristic equation of the closed-loop system is simple and immune from time-delay change. It dignifies the controller with a good behavior. Moreover, the only coefficient that needs selecting has simple definitive relationship with the pole of closed-loop system, making the controller easy to use in practice. At the end of the paper some digital and physical system simulations are given.