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This paper presents a new hybrid differential squirrel search algorithm optimization algorithm (DSSE) by combining the searching methods of a squirrel search algorithm and differential evolution optimization process for solving the global optimization problem. The main thrust is to include the crossover mechanism in differential evolution algorithm, to improve its exploration capability and modification of the updating rule of squirrel during foraging to improve its exploitation skill. To evaluate its performance, the proposed algorithm is benchmarked on a set of test functions defined in CEC2005. The results show that the proposed algorithm outperforms a well-known optimization algorithm including the squirrel search algorithm.