Displacement　and　velocity　are　often　inputted　in　wave　motion　explicit　FEM　at　present,　while　acceleration　record　directly　reflects　the　original　information　of　seismic　wave.　As　a　result,　an　explicit　integration　formula,　based　on　both　center　difference　method　and　Newmark-β　method,　and　reduced　by　equilibrium　equation,　is　proposed.　Water　tower　and　framework　structure　dynamic　analysis　indicated　that,　the　acceleration　response　of　the　formula　and　the　method　in　reference[3]　are　agree　well　with　that　of　mode　analysis　associating　with　Duhamel　integral　method　and　Newmark-β　implicit　method,　when　the　efficiency　of　calculation　is　ensured.