For studying on the essence of the strengthening difference between permutation solid-solution and clearance solid-solution,establishes the calculating formula for the lattice constant of the cells,which have solute atoms in permutation solid-solution.And the valence electron structures of the cells are calculated according to the analysis method(BLD) given by EET of Solid and Molecules.The results show that in permutation solid-solution there is little difference between the n_A of the cells which have solute atoms and that of the cells which have no solute atoms,while in clearance solid-solution,the n_A of the two kind cells are different quietly.The information deeply reveals the essence that the two kinds solid-solution have great difference in the solid-solution strengthening,and so the mechanism of solid-solution strengthening can be presented using the valence electron structures of the solid-solution.