One of the main problems in Particle Physics is to understand the origin and nature of Dark Matter. An exciting possibility is to consider that the Dark Matter belongs to a new complex but hidden sector. In this paper, we assume the existence of a strongly interacting dark sector consisting on a new scalar doublet and new vector resonances, in concordance with a model recently proposed by our group. 4 Since in a previous work it was found that it is very challenging to find the new vector resonances at the LHC, here we study the possibility of finding them at the a future Compact Linear Collider (CLIC) running at √ s = 3 TeV. We consider two distinct scenarios: when the non-standard scalars are heavy, the dark resonance is intense enough to make its discovery possible at CLIC when the resonance mass is in the range [2000, 3000] GeV. In the second scenario, when the non-standard scalars are light, the new vector boson is too broad to be recognized as a resonance and is not detectable except when the mass of the scalars is close to (but smaller than) a half of the resonance mass and the scale of the dark sector is high. In all the positive cases, less than a tenth of the maximum integrated luminosity is needed to reach the discovery level. Finally, we also comment about the mono-Z