  We propose a texture of three generation Majorana-type neutrino mass matrix
in terms of only two parameters which gives rise to nearly bi-maximal mixing
angles. We also demonstrate an explicit realization of such type of neutrino
mass-matrix in the context of an $SU(2)_L$$\times$$U(1)_Y$ model due to higher
dimensional mass terms through the inclusion of discrete $Z_3$$\times$$Z_4$
symmetry and two extra singlet Higgs fields.
