Abstract: The purpose of this paper is to construct a new class of weak quantum algebras.Two-parameter weak Hopf algebra ω_r,s^d(sl_n) is obtained by weakening the set of group-like elements of two-parameter quantum group U_r,s(sl_n).We suggest that this class of weak Hopf algebras is just a generalization of weak Hopf algebra ω_r,s^d(sl_n).