Abstract: The algebraic structure and features of right-e wlpp semigroups are discussed. Then a new structure theorem of right-e wlpp semigroups is obtained. A wlpp semigroup S is right-e wlpp semigroup. This kind of semigroups is a spined product of C-wlpp semigroup and left normal band with respect to a semilattice Y. Finally, the result that right-e wlpp semigroup is strong semilattice of \mathcalL -right cancellative planks is proved.