Based on the matrix theory for the light propagation in a system consisting of plane screens [1, 2] and the relevant idea [3] proposed by one of the authors, an initial design for a new kind of optical elements is first presented here. Its main feature is that regardless of the order of the input light beam mode with axial symmetry, after passing through a sequence of these elements the output light wave will be nearly a fundamental mode. Obviously, some action to transform the high order modes of light beam into the fundamental mode should take place here. Hence was named "the screen for transformation of light beam modes". Although our desing is not satisfactory, the energy losses are too large, it has been shown that there is great possibility of developing this new kind of optical element.