The effect of three‐dimensional high‐frequency turbulent electric fields on the &sgr;+, &sgr;−, and &pgr; components of the allowed 11S0‐31P1line and the forbidden 11S0‐31D2lines in the laser absorption spectra of a magnetoactive He I plasma is investigated by means of the coupled equations for the probability amplitudes of atomic states. The spectral shifts of &sgr;+, &sgr;−, and &pgr; components and the satellites about the forbidden lines are derived. The calculation reveals that the ratio of the intensity of the near satellite to that of the far satellite is different from the one obtained by second‐order perturbation theory or the three‐level rotating‐wave approximation. The observations of the line shifts permit a quantitative determination of the intensity of the stochastic electric field, the average electron density, and the relative direction of the local magnetic field with respect to the linearly polarized laser field.