The studies on nonlinear geochemical dynamics are mainly include:(1)dynamics of nonlinear reactions in geochemistry,(2)nonlinear dynamics of precipitation, crystalline and growth of minerals,(3)nonlinear dynamics of coupled between flow and reaction,(4)nonlinear dynamics of mechano-chemical coupling, and(5)nonlinear dynamics of geochemical cycles or nonlinear global dynamics. This paper reviews the new advance on nonlinear geochemical dynamics and discusses the research priority of nonlinear geochemical dynamics.