In this paper, we show that a simple variational method proposed by Huybrechts is also valid for the surface or interface weak coupling polaron in polar crystals. The mass change and the binding energy of the surface polaron, which are given by expressions (27) and (35) in the text respectively, are dependent on the dielectric costant ε0, ε∞1,ε∞2 and the Fr?hlich coupling constant α. It is shown that the surface polaron, as compared to bulk polaron, have small binding energy and large state radius.