We present the improved screening constants, with which the atomic energy levels for the finite temperature materials are obtained by the screened-Hydrogen model. The improved screening constants are obtained for each of 34 materials. Each screening constants has the temperature dependence in order to realize the better reproducibility of the Hartree-Fock-Slater (HFS) energy levels. The improved screening constants provide the better results compared with More`s screening constants: the improvement from the results by More`s screening constants is about 40% for n = 1 and about 20% for n = 2, in average over 34 materials. Here n is the principal quantum number. (author).