An　improved　time　integration　scheme　is　proposed　for　linear　and　nonlinear　dynamics.　The　proposed　scheme　has　two　free　parameters　which　control　numerical　dissipation　and　accuracy　effectively.　Basic　properties　including　spectral　stability,　algorithmic　accuracy,　algorithmic　damping,　period　elongation　and　overshooting　behavior　are　investigated.　The　influences　of　algorithmic　parameters　on　these　properties　are　quantified.　The　effectiveness　of　the　proposed　scheme　for　linear　and　nonlinear　dynamics　is　evaluated　through　some　numerical　examples.　Analytical　and　numerical　results　demonstrate　that　the　proposed　scheme　has　the　following　significant　characteristics:　(1)　desirable　accuracy　can　be　obtained　for　various　linear　and　nonlinear　problems,　when　compared　with　other　effective　schemes;　(2)　for　nonlinear　problems,　new　scheme　also　shows　good　performance;　(3)　the　proposed　scheme　has　simple　formulation　and　good　compatibility　for　various　dynamic　problems,　and　thus,　is　a　promising　candidate　for　practical　analysis.