In this paper, for a monotone operator T, we shall show strong convergence of the regularization method for Rockafellar’s proximal point algorithm under more relaxed conditions on the sequences {r <Subscript> k </Subscript>} and {t <Subscript> k </Subscript>}, <Equation ID="Equa"> <EquationSource Format="TEX">$$\lim\limits_{k\to\infty}t_k=0;\quad...</equationsource></equation></subscript></subscript>