A　kind　of　general　stochastic　nonautonomous　Lotka-Volterra　models　with　infinite　delay　is　investigated　in　this　paper.　By　constructing　several　suitable　Lyapunov　functions,　the　existence　and　uniqueness　of　global　positive　solution　and　global　asymptotic　stability　are　obtained.　Further,　the　solution　asymptotically　follows　a　normal　distribution　by　means　of　linearizing　stochastic　differential　equation.　Moment　estimations　in　time　average　are　derived　to　improve　the　approximation　distribution.　Finally,　numerical　simulations　are　given　to　illustrate　our　conclusions.　©　2013　Fengying　Wei　and　Yuhua　Cai.