  Electroweak radiative corrections to the cross section of the process $e^+
e^- \to Z H$ are considered. The complete one-loop electroweak radiative
corrections are evaluated with the help of the SANC system. Higher-order
contributions of the initial state radiation are computed in the QED structure
function formalism. Numerical results are produced by a new version of the
ReneSANCe event generator and MCSANCee integrator for the conditions of future
electron-positron colliders. The resulting theoretical uncertainty in the
description of this process is estimated.
