This　paper　derive　regularity　criteria　for　the　super-critical　dissipative　quasi-geostrophic　equations　with　dispersive　forcing.　These　criteria　generalized　the　corresponding　regularity　conditions　of　critical　dissipative　quasi-geostrophic　equations　to　the　super-critical　case　with　dispersive　term.　It　is　showed　here　that　the　super-critical　dissipative　quasi-geostrophic　equations　admit　a　unique　global　smooth　solution　when　the　prescribed　initial　data　satisfies　||∇θ0||1-2αL∞||θ　0||2αL∞　α　for　sufficient　small　number　Cα　＞　0.　©　2010　IEEE.