Abstract: The pseudorandom numbers generator based on the primary-cellular automata（CA） and hybrid-CA is studied.The comparative experiment and the analysis show that the chaos primary-CA can produce the stable and superior pseudorandom numbers.Though the performance of hybrid-CA is better than the average performance of primary-CA，it is far worse than the performance of chaos primary-CA.Furthermore，the pseudorandom numbers generation algorithm based on hybrid-CA and particle swarm optimization（PSO） is proposed in view of pseudorandom numbers generator based on the hybrid-CA.In the algorithm，the cellular of CA can be considered as the particle of PSO.The iterative process of each cellular based on its own rule is corresponding to the flight process of each particle in search rule-space.Each particle iteratively evaluates the fitness of the candidate solutions according to the entropy value of pseudorandom numbers produced by corresponded cellular.The algorithm can improve the correlation of pseudorandom numbers by searching the best rules for each cellular.Finally，the further research of pseudorandom numbers generator coupled with CA-PSO based on niche technology is presented.