We calculate a full set of one-loop corrections to the Higgs boson coupling constants as well as the electroweak parameters. We compute the decay rate of the standard model (SM)-like Higgs boson (h) into diphoton. Renormalized Higgs couplings with the weak gauge bosons hV V (V = W and Z) and the trilinear coupling hhh are also calculated at the one-loop level in the on-shell scheme. Magnitudes of the deviations in these quantities are evaluated in the parameter regions where the unitarity and vacuum stability bounds are satisfied and the predicted W boson mass at the one-loop level is consistent with the data. We find that there are strong correlations among deviations in the Higgs boson couplings hγγ, hV V and hhh. For example, if the event number of the pp → h → γγ channel deviates by +30% (−40%) from the SM prediction, deviations in the one-loop corrected hV V and hhh vertices are predicted about −0.1% (−2%) and −10% (+150%), respectively. The model can be discriminated from the other models by measuring these coupling constants accurately at future collider experiments.