This paper proposes a predator-prey cellular genetic algorithm to solving dynamic optimization problems. A predator-prey model replaces the evolution rule in regular cellular genetic algorithm, which is proposed based on the predatorprey relationship in real world. In grid-world, each predator captures the weakest prey in its neighborhood. The population size of predator and prey scheme is researched. Orthogonal crossover operator is introduced to further improve the search ability of the algorithm. Three dynamic optimization problems with different complexity are selected to verify the algorithm performance. The computation results show that the proposed algorithm has the better performance in dealing with the dynamic optimization problems.