Punishment　is　an　effective　way　to　sustain　cooperation　among　selfish　individuals.　In　most　of　previous　studies,　objects　of　punishment　are　set　to　be　defectors.　In　this　paper,　we　propose　a　mechanism　of　punishment,　in　which　individuals　with　the　majority　strategy　will　punish　those　with　the　minority　strategy　in　a　public　goods　game　group.　Both　theoretical　analysis　and　simulation　show　that　the　cooperation　level　can　be　greatly　enhanced　by　punishing　minority.　For　no　punishment　or　small　values　of　punishment　fine,　the　fraction　of　cooperators　continuously　increases　with　the　multiplication　factor.　However,　for　large　values　of　punishment　fine,　there　exists　a　critical　value　of　multiplication　factor,　at　which　the　fraction　of　cooperators　suddenly　jumps　from　0　to　1.　The　density　of　different　types　of　groups　is　also　studied.　©　2017