A search for the dark matter is performed using events with large missing transverse momentum and a Higgs boson decaying into a pair of bottom quarks in a data sample of proton-proton interactions at the centre-of-mass energy of 13 TeV collected with the CMS detector at the LHC in 2015. The data correspond to an integrated luminosity of 2.3 fb. Results are interpreted in the framework of the Type-2 two-Higgs-doublet model where a high-mass resonance decays into a pseudoscalar and the standard model Higgs boson. further decays into a pair of dark matter particles. The recoil of the Higgs boson against the dark matter particles is dependent on the mass of the resonance , therefore, the Higgs boson is reconstructed using a pair of small-radius jets for low transverse momentum and a large-radius jet for high transverse momentum.