  A new method for searching for Dark Matter axions is proposed. It is shown
that a two-contact SQUID can detect oscillating magnetic perturbations induced
by the axions in a strong inhomogeneous magnetic field. A resonant signal is a
steplike response in the SQUID current-voltage characteristic at a voltage
corresponding to the axion mass with a height depending on the axion energy
density near the Earth. The proposed experimental technique appears to be
sensitive to the axions with masses $m_a\lesssim 10^{-4}$ eV, which is
well-motivated by current researches both in cosmology and in particle physics.
