We used the magnetosensitive microwave absorption (MMA) effect to search for new superconductive materials. This effect is very sensitive to the superconductive phase quantity in the sample under test and can detect very small quantities of this phase up to 10 −3% of this in a sample volume. As nonsuperconductors manifest MMA effect too, it is necessary to find out the MMA peculiarities which can be attributed only to a superconductive phase. To solve the problem we considered peculiarities of MMA effect deduced experimentally in superconductors of type I, II as well as for the HTSC and compared their properties with those in the materials with magnetic dipoles and the magnetoresistive effect in semiconductors. Thus we found the main peculiarities of the MMA effect the superconductive phase and observed them in some glasses enriched with ions of Cu, Ni, Co, or Fe.