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A double matrix hybrid coded genetic algorithm (DMHGA) is presented to solve the unit commitment (UC). The DMHGA chromosome consists of three-dimensional matrix representing the UC schedule, it effectively uses the binary-coded genetic algorithm to solve the unit commitment up/down problem and the real-coded genetic algorithm based on the equal incremental-cost criterion to solve the power economic dispatch problem, this modification helps to explore the search space very effectively, It generates better solutions than the other methods. Problem formulation, representation and the simulation results with systems of up to 10 units and 24-h scheduling horizon are presented. The results show that the DMHGA has strong ability in global search and efficient.