We study the doubly-polarized lepton pair forward-backward asymmetries in Lambda(b) --> Lambdae(+)e(-) decay using a general, model independent form of the effective Hamiltonian. We present the general expression for nine doubly-polarized forward-backward asymmetries. It is observed that, the study of the forward-backward asymmetries of the doubly-polarized lepton pair is a very useful tool for establishing new physics beyond the standard model. Moreover, the con-elation between forward-backward asymmetry and branching ratio is investigated. It is shown that there exist certain regions of the new Wilson coefficients where new physics can be established by measuring the polarized forward-backward asymmetry only. (C) 2004 Elsevier B.V. All rights reserved.