To better understand the phenomena inside an absorber, where heat and mass transfer coexist, this study selected the most basic absorption model from in which water vapor is absorbed on the surface of a stationary lithium bromide absorbent solution. The purpose of this study is to obtain basic knowledge of heat and mass transfer processes as affected by Marangoni convection induced by addition of surfactant. We apply a non-flowing bulk absorption model and assume that dropwise surfactant is fixed on the absorbent surface. Four governing equation-continuity, laminar monentum, energy and diffusion-are solved numerically to obtain temperature and concentraion distributions during steam absorption with Marangoni convection in conclusion, Sh and Nu genrally increase at the initial absorption stage.