We calculate the transmission coefficient for electrons passing through the helically shaped potential barrier which can be, for example, produced by DNA molecules. Introduction. In recent years, it was discovered that electron transmission through ordered thin films of chiral molecules is highly spin selective 1-5 . This effect was termed as chiral-induced spin selectivity (CISS) effect 4 (for details see review 6 and Refs. therein). In experiments 2,4 , the transmission of photoelectrons through self-assembled monolayers (SAMs) of doublestranded DNA (dsDNA) on gold has been studied. The spin polarization (SP) of electrons ejected from Au substrate and transmitted through SAM of dsDNA was measured and the strong SP, which is defined as 4 P = (I ↑ − I ↓ )/(I ↑ + I ↓ ) was observed. Here I ↑ and I ↓ are the intensities of the signals corresponding to the SP oriented parallel and antiparallel to the electrons' velocity, respectively.Recently, different models have been proposed 7-10 to explain experimental results. A scattering theory in the first Born approximation has been applied to obtain the SP in the differential cross section of electrons moving through chiral molecules with energies above the vacuum level 8 . The model of point charges placed along a helical line is considered in a tight binding approximation for electronic structure of the helix and the transmission of distinct electron spin state is computed by the Landauer formulation 9 . The SP conductance through a metal-DNA-metal structure is calculated in a tight binding picture 10 . Although all these studies differ in details, they possess similar physical basis. Each of them is based on accounting of the spin-orbit interaction (SOI) of an electron that is moving through a helical potential. In other words, describing different aspects of the problem, approaches are based on the Schrödinger equation 11