ZnMn2O4films for resistance random access memory (RRAM) were fabricated on p-Si substrate by magnetron sputtering. The effects of thickness onI-Vcharacteristics, resistance switching behavior and endurance characteristics of ZnMn2O4films were investigated. The ZnMn2O4films with a structure of Ag/ZnMn2O4/p-Si exhibit bipolar resistive switching behavior. With the increase of thickness of ZnMn2O4films from 0.83μm to 2.3μm, both theVONand the number of stable repetition switching cycle increase, but theRHRS/RLRSratio decrease, which indicated that the ZnMn2O4films with a thickness of 0.83μm has the biggestRHRS/RLRSratio and the lowestVONandVOFF, but the worst endurance characteristics.