According to the results on the G{1} continuity conditions for two arbitrary degree B-spline surfaces with generally structured knots, this paper analyzes the property of the connectivity functions of G{1} continuity first, then obtains the necessary and sufficient condition of G{2} continuity for two arbitrary degree B-spline surfaces with generally structured knots, meanwhile present a kind of sufficient conditions of G{2} continuity. In particular, this paper obtain the uniform smooth conditions for the above G{2} sufficient conditions. At the end, this paper give a constructing algorithm and examples for adjacent B-spline surfaces to be of G{2} continuity.