  In the framework of the electroweak standard model, we investigated, in the
center of mass frame, the Higgs boson production in the presence of an intense
laser field via ${e}^{+} {e}^{-}$ annihilation $({e}^{+} {e}^{-}\rightarrow
ZH)$. By comparing our results with those obtained by Djouadi \cite{1} for
laser-free process, we show that the circularly polarized laser field affects
significantly the $s$-channel Higgs boson production. We find that for a given
number of exchanged photons, laser field strength and frequency, the total
cross section decreases by several orders of magnitude. These effects of laser
field on cross section are found to be consistent with what was found for muon
pair production via QED process in the presence of a circularly polarized laser
field \cite{2}.
