Migration　plays　an　important　role　in　the　evolution　of　cooperation.　Previous　studies　concerning　mobile　population　often　assumed　that　all　agents　move　with　the　identical　velocity.　In　this　paper,　we　propose　a　payoff-driven　migration　in　which　the　velocity　of　an　agent　depends　on　his/her　payoff.　A　parameter　α　is　introduced　to　adjust　the　influence　of　payoff,　when　α=0　means　that　agents　all　move　with　the　identical　velocity　while　α＞0　means　that　the　lower　the　payoff　is,　the　faster　the　moving　speed　is,　and　vice　versa.　For　the　prisoner＇s　dilemma　game,　we　find　that　in　comparison　with　the　case　that　agents　all　move　with　the　same　speed,　cooperation　could　be　promoted　strongly　when　payoff-dependent　velocity　is　considered.　Remarkably,　the　cooperation　level　is　not　a　monotonic　function　of　α,　and　there　exists　an　optimal　value　of　α　which　can　lead　to　the　maximum　cooperation　level.　For　the　snowdrift　game,　the　cooperation　level　increases　with　α.　©　2016　Elsevier　B.V.　All　rights　reserved.