We　establish　a　stochastic　HIV/AIDS　model　involving　the　susceptible　with　protection　awareness　within　a　total　population.　The　mechanism　of　dynamic　behaviors　of　the　stochastic　HIV/AIDS　model　with　protection　awareness　are　investigated　in　order　to　control　the　spread　of　HIV/AIDS.　We　firstly　show　that　the　stochastic　model　admits　a　global　positive　solution　with　any　initial　positive　values.　By　constructing　Lyapunov　functions,　the　ergodic　stationary　distribution　under　the　condition　R0s＞1,　and　the　extinction　under　the　condition　R0e　©　2023　Elsevier　Ltd