Based on the Monte-Carlo simulation, the effects of both the ratio of surface interaction to bulk one Js/J and the multilayered thickness on the cri tical beh avior are studied. It is found that whether the phase transition temperature inc reases with increasing number of multilayers depends on the value of Js/J. Whe n the value of Js/J is above a certain critical value, the system bec omes orde red in the surface before it gets in order in the bulk. Below this critical valu e, one can find that a magnetically disordered surface can coexist with a magnet ically ordered bulk phase. For a small Js/J, the transition temperatu re increa ses slowly with the increase of Js/J and finally are equal to the transiti on temperature of the bulk. When Js/J is large enough, the transition temperat ure increases linearly with the increase of Js/J.The simulated result s are con sistent with those derived by the mean field theory with the transfer matrix met hod, and well explain the experimental facts.