Abstract We have to include the notation of several properties of 0-distributive lattice and 1-distributive lattices in terms of ideals and filters. We see the difference provided that many characterizations of 0-1distributive lattices in terms of ideals and filters. We also see the difference of 1distributive lattices by using a prime separation. We have proved that a lattice which is both 0 and 1- distributive, is complemented if and only if its prime ideals are unordered. We also show that a 0-distributive lattice complemented 0- distributive lattice is 0-modular if and only if it is weakly complemented. Finally we studied some properties of 0-distributive and 1-distributive lattices in terms of ideals and filters with respect to semi prime filters.