  The Standard Model Lagrangian has an approximate scale symmetry in the
high-energy limit. This observation can be included in the fundamental
principle of the ultimate theory of Nature as the requirement of the exact
quantum scale invariance. In this setup, all low-energy particle phenomenology
can be obtained as a result of the spontaneous breaking of scale symmetry
leading to the presence of the extra massless scalar field -- the dilaton. We
explore the scenario in which this field is capable of solving the strong
CP-problem in QCD in a similar way as in QCD axion models. The dilaton, playing
the role of the axion, is coupled to the QCD sector and acquires a mass term
due to non-perturbative breaking of scale symmetry. We show that the dilaton
can form dark matter after the low-scale inflation. As a proof of concept, we
construct a model of Higgs-driven inflation consistently realising the
axion-like dilaton dark matter production compatible with the CMB data.
