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In the report we present the contemporary status of Dark Matter particle search in theoretical and experimental aspects. We analyze some direct methods of registration for non-contact interaction between DM particles and a working medium, and propose the scheme of SQUID -paramagnetic absorber as a new detector. Keywords: Dark Matter particle, non-contact interaction, SQUID. 10.18698/2309-7604-2015-1-566-576 In 1933  kinematic data of stars and gas streams, indicating a massive and dark halos within galaxies;  contemporary astrophysics and high-energy physics appreciates the data on X-ray emission of galaxies and galaxy clusters. The data obtained from satellites PAMELA, ROSAT, XMM-Newton, Chandra. DOI:Due to non-stop refining estimates the amount of DM in 5-6 times more than baryonic matter, which represents normal outward things for us. Seeing that the Universe's expansion is accelerating at the greatest distances, we have to adopt also "Dark Energy", which acts to drive the expansion, in opposition to gravity.

The DC-SQUID as the gravitational wave detector is offered. It is proposed to use the Josephson tunneling, and register a broadening of the gap between the superconducting needle and the plate rigidly connected with a transducer. For supersensitivity the suggested increasing of steepness for the dependence between Josephson inductancecurrent when the external current approaches the critical value is noted. Some estimates of its sensitivity on amplitude for 1 GHz range wave frequency is presented.