The structural and magnetic properties of Pt1-xCux/Co multilayers have been investigated. Increasing the concentration of Cu in the Pt spacer layers results in monotonic decrease of the anisotropy and remanence, in a range of x from 0.04—0.30 except in a special range of 0.10—0.15. The reduction of these parameters is related to the growth of random anisotropy because a random distribution of Cu atoms in the Pt spacer layers causes a local distortion of crystal symmetry of Pt. In the special range, an order CuPt phase may appear. In such a case cobalt atoms are affected by a symmetric crystal field like that produced by Pt. These may be the possible explanation of the measured parameters after the doping of Cu in the Pt spacerlayers.