Inflation is the most plausible mechanism to resolve several cosmological problems in the early universe. Higgs inflation is clearly the most economical possibility. The original Higgs inflation, however, requires quite a huge coupling between the Higgs field and the gravity, named the non-minimal coupling. We propose a model with a right-handed neutrino and a Z_2 odd real scalar field, which can account for tiny neutrino masses and the dark matter. We show that our model gives the non-minimal coupling of around 10, consistent with the recent Planck observation. Furthermore, we show that the masses of the right-handed neutrino and the dark matter are not seriously constrained by the observed value of the tensor-to-scalar ratio.