In this paper we study the nonhomogeneous Poisson Come and Infinite many servers queuing system M(t)/M(t)/∞ with bulk arrival. Such a queuing system can be considered as a nonhomogeneous Markov chain. Because both of the arrival and service of this system are nonhomogeneous
so it cannot be reduced from the bulk arrival queuing system M/G/∞ or G I/M/∞. We study the transient behavior and limit distribution of this system.