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In this work,a multiscale computational formulation is developed for two-and threedimensional gradient elasticity problems.Based on the staggered gradient elasticity scheme,numerical multiscale base function is constructed by employing the oversampling element technique.By virtue of this base function,the microscopic characteristics of material can be reflected to the macroscopic scale.Thus the displacement field of original boundary value problem is calculated at the macroscopic level,and the microscopic gradient-enriched solutions are evaluated by adopting the downscaling computation on the sub-grids of each corresponding coarse element domain,which will reduce the computational cost significantly.Furthermore,several representative examples are carried out to investigate the validation and efficiency of the proposed multiscale formulation.