  We consider an extension to the Standard Model (SM) with two extra real
singlet scalars which interact with the SM Higgs particle. The lighter scalar
is taken as the dark matter (DM) candidate. We show that the model successfully
explains the relic abundance of the DM in the universe and evades the strong
bounds from direct detection experiments while respecting the perturbativity
and the vacuum stability conditions. In addition, we study the hierarchy
problem within the Veltman approach by solving the renormalization group
equations at one-loop. We demonstrate that the addition of the real singlet
scalars contributes to the Veltman parameters which in turn results in
satisfying the Veltman conditions much lower than the Planck scale $
\Lambda_\text{Pl}$ down to the electroweak scale. Therefore, the presence of
the extra scalars solves the fine-tuning problem of the Higgs mass. For the
case of the two-scalar DM model we find two representative points in the viable
parameter space which satisfy also the Veltman conditions at $\Lambda = 300$
GeV and $\Lambda = 1$ TeV.
