Lattice Boltzmann multiphase method based on Shan-Chen model is used to a systematic study on dynamics of two-phase fluid flows in a lid-driven square cavity.Effects of Reynolds (Re),Capillary number (Ca) and surface wettability on flowing and mixing are investigated in details.It shows that the greater the Re and Ca,the longer pength of two phase fluid mixing interface in the cavity.In addition,the length of mixing interface increases with surface hydrophobicity.However,for a highly hydrophilic surface,the length of mixing interface tends to a constant finally.