The deformation theory for the solutions of BBM equation and generalized B-BBM equation and homogenous balance methods(HBM) for B-BBM equation are studied. The authors propose a new class of deformation formula which can produce the exact explicit solutions of generalized B-BBM equation by deforming the known solution of BBM equation. This paper concludes with an elementary example. As a byproduct, another class of deformation relation(called hybrid) is obtained.