The field dependences of the piezomagnetic coefficients for amorphous alloys of the system Co-Mo-Ni-Zr with low magnetostriction have been measured by a dynamic stress technique. The alloys were heat-treated in a transverse magnetic field. All the field dependence curves of the piezomagnetic coefficients are the curves show maxima. Three main types of curves were obtained: a rapid increase in low field and a sharp maximum; a rapid increase in low field and a wide maximum; and a slow increase and a maximum in a field close to saturation. These differences are probably connected with different contributions of the stress magnetization: magnetization rotation and 90° domain wall motion due to the heat treatment of the samples.