One-loop electroweak radiative corrections to polarized <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:mi>Z</mml:mi><mml:mi>H</mml:mi></mml:math>

In this paper we give high-precision theoretical predictions for cross sections of the process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}ZH$ for future electron-positron colliders. The calculations are performed using the sanc system. They include complete one-loop electroweak radiative corrections, as well as the longitudinal polarization of initial beams. Numerical results are given for the center-of-mass energy range $\sqrt{s}=250--1000\text{ }\text{ }\mathrm{GeV}$ with various polarization degrees.