A one-dimensional model is used to study the effects of secondary electron emission coefficient on plasma wall potential with Maxwell distribution of primary electrons and partially super-extensive electrons. By numerical simulation, the results show that when the secondary electron emission coefficient of the wall is small, the wall potential decreases with the increase of the concentration ratio, the temperature ratio and super-extensive parameter of the super-extensive electrons to the primary electrons. The wall potential increases with the increase of the concentration ratio, the temperature ratio and super-extensive parameter of the super-extensive electrons to the primary electrons.