This study investigated the effects of an intervention using the game “GO” on cognitive function in nursing home residents and evaluated the acquisition of GO according to each stage of dementia. Participants were randomly assigned to either the GO intervention group or a control group, and the intervention was performed once weekly for 15 weeks. Cognitive tests were conducted before and after intervention, and 17 participants were included in the final analysis. Analysis of covariance demonstrated that in the intervention group, the digit span total score significantly improved and the digit span backward score was maintained, whereas these scores decreased in the control group. All participants, including those who had moderate dementia, acquired the rules of the game, and participants with mild cognitive impairment and mild dementia could play the game successfully. This study indicates that GO might improve the cognitive function of residents living in nursing homes.