Аннотация:Discovery of the Periodic table of chemical elements and the periodic law by D.I. Mendeleyev is considered as the greatest achievement in chemistry and in general science as well. The Mendeleyev’s Periodic table united chemical elements in a single system. However, as the true scientist having gift of foresight D.I. Mendeleyev understood that in future the his Periodic table will be improved, it promises settings and development. We made such attempt of development of Mendeleev’s Periodic system and created the table constructed on new achievements of physics, chemistry and mathematics