  In this talk, we will review Inert Triplet Model (ITM) which provide
candidate for dark matter (DM) particles. Then we study possible decays of
Higgs boson to DM candidate and apply current experimental data for invisible
Higgs decay to constrain parameter space of ITM. We also consider indirect
search for DM and use FermiLAT data to put constraints on parameter space.
Ultimately we compare this limit with constraints provided by LUX experiment
for low mass DM and invisible Higgs decay.
