Results are given of an experimental study of the plasma in the toroidal machine TM-2 in a strong axial magnetic field (up to 22 k oersted). It is shown that increasing the magnetic field strongly reduces the low-frequency fluctuations on oscillograms of the circuit voltage and discharge current derivative. It also weakens the interaction between the plasma and the wall of the discharge vessel.For sufficiently large ratios between the intensities of the axial magnetic field and the field due to the current these fluctuations are no longer observed. Radio-interferometer measurements show that during the process the electron density remains almost unchanged in this case. The conductivity reaches values similar 1 × 10¹⁰ c.g.se.