  The paper describes high-precision theoretical predictions obtained for the
cross sections of the process $e^+e^- \to ZH$ for future electron-positron
colliders. The calculations performed using the SANC platform taking into
account the full contribution of one-loop electroweak radiative corrections, as
well as longitudinal polarization of the initial beams. Numerical results are
given for the energy range $E_{cm}=250$ GeV - $1000$ GeV with various
polarization degrees.
