  We investigate predictions of the trilinear Higgs self-coupling with
radiative corrections in the context of the Inert Doublet Model. The triple
Higgs vertex is computed at the one-loop level based on the on-shell
renormalization scheme. We calculate its possible deviation from the
predictions within the standard model, taking into account all relevant
theoretical and experimental constraints, including dark matter searches and
the latest bounds on the branching fraction of the Higgs boson decaying to
invisible particles. By scanning the model's parameter space, we find that the
deviation in the triple Higgs boson self-coupling from standard model
expectations can be substantial, exceeding 100\% in certain regions of the
parameter space.
