This　paper　researched　and　designed　the　six　legs　of　the　hexapod　robot,　introduced　the　mechanical　structure　of　the　hexapod　robot　and　the　design　of　the　legs　in　detail,　and　then　performed　step　climbing　and　steep　slopes　climbing　experiment　on　the　MATLAB　and　VREP　simulation　platform,　and　the　average　velocity　curve　of　the　center　of　gravity　when　the　fuselage　moved　was　obtained.　The　experimental　results　show　that　the　robot　has　the　possibility　to　climb　vertical　walls,　which　has　important　theoretical　and　practical　significance　for　further　improvement　and　research　on　the　hexapod　robot　climbing　vertical　walls　in　the　future.　At　last,　there　is　no　doubt　that　this　hexapod　robot　can　be　equipped　with　some　special　detectors　to　achieve　some　difficult　tasks.