  In this paper, we present analytical results for one-loop contributing to the
decay processes $H\rightarrow Z \nu_l\bar{\nu}_l$ (for $l = e, \mu, \tau$). The
calculations are performed within the Standard Model framework in 't
Hooft-Veltman gauge. One-loop form factors are then written in terms of scalar
one-loop functions in the standard notations of {\tt LoopTools}. As a result,
one-loop decay rates for the decay channels can be evaluated numerically by
using the package. Furthermore, we analyse the signals of $H\rightarrow Z
\nu_l\bar{\nu}_l$ via the production processes $e^-e^+ \rightarrow ZH^*
\rightarrow Z (H^* \rightarrow Z \nu_l\bar{\nu}_l)$ including the initial beam
polarizations at future lepton collider. The Standard Model background such as
the processes $e^-e^+ \rightarrow \nu_l\bar{\nu}_l ZZ$ are also examined in
this study. In numerical results, we find that one-loop corrections are about
$10\%$ contributions to the decay rates. They are sizeable contributions and
should be taken into account at future colliders. We show that the signals
$H\rightarrow Z\nu_l\bar{\nu}_l$ are clearly visible at center-of-mass energy
$\sqrt{s}=250$ GeV and it is hard to probe at higher-energy regions due to the
dominant of the background.
