Some properties of 0-ideals in 0-distributive lattices and quasi-complemented lattices are derived. Preservation of 0-ideals by an on to homomorphism defined on a 0-distributive lattice is discussed. It is proved that the set of all of 0-ideals in a normal lattice forms a sub lattice of all of its ideals but not in general. The set of all of 0-ideals in a 0-distributive lattice forms a distributive lattice under the defined operations on it.