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This paper presents the integration between two types of genetic algorithm: a multi-objective genetic algorithm (MOGA) and a co-operative co-evolutionary genetic algorithm (CCGA). The resulting algorithm is referred to as a multi-objective co-operative coevolutionary genetic algorithm or MOCCGA. The integration between the two algorithms is carried out in order to improve the performance of the MOGA by adding the co-operative co-evolutionary effect to the search mechanisms employed by the MOGA. The MOCCGA is benchmarked against the MOGA in six different test cases. The test problems cover six different characteristics that can be found within multi-objective optimisation problems: convex Pareto front, non-convex Pareto front, discrete Pareto front, multi-modality, deceptive Pareto front and non-uniformity in the solution distribution. The simulation results indicate that overall the MOCCGA is superior to the MOGA in terms of the variety in solutions generated and the closeness of solutions to the true Pareto-optimal solutions. A simple parallel implementation of MOCCGA is described. With an 8-node cluster, the speed up of 2.69 to 4.8 can be achieved for the test problems.