Abstract. I begin by a brief review on the scale invariant extension of the Standard Model in particle physics. Then I introduce a particular property in scale invariant models which is absent in other Higgs-portal scenarios. I show that to accommodate the dark matter problem and the muon g-2 anomaly one needs a scale invariant model with at least two singlet scalars plus one vector-like lepton coupled to the muon. I will point out how that particular property helps the model evade some strong constraints at colliders.