Open magnetic systems for plasma connement have been considered as possible congurations for a fusion reactor since the early days of fusion research. The paper presents a mathematical model of the plasma transport in a spiral magnetic eld for a new installation SMOLA [1] for plasma connement, created at the Budker Institute of Nuclear Physics of SB RAS. Numerical simulation of the transport equation in a helical magnetic eld is carried out [2]. The stationary equation of plasma transport in the axially symmetric formulation contains the second derivatives, including mixed ones. The equation also contains the following variables λ is the ratio of the system length L to the mean free path λ, n is the normalized concentration, ϕ the plasma potential, T the sum of ionic and electron temperatures. Magnetic plasma connement for fusion power [3] involves the formation of a self-consistent conguration of plasma and magnetic eld. Such a conguration should be able to prevent the loss of particles and energy and exist for some time, long enough on the scales of plasma processes. The distribution of the substance concentration obtained by numerical simulation has a qualitative correspondence with the data of eld experiments. In the future, a more accurate comparison with experimental data is planned, the use of the method of successive over-relaxation, as well as the variation of parameters: the depth of corrugation, diusion.