We report the results of spectropolarimetric observations of the supergiant ζ Ori A made with 6-m BTA telescope of the SAO RAS. We found regular variations of line profiles in the spectrum of the star with a period of 1-3 hours and point to their possible association with nonradial photospheric pulsations. We also searched for a possible weak magnetic field in ζ Ori A, but observations did not confirm the existence of such a field in the star considered.