A mechanism of a superconducting coupling of two magnets in a system of coupled superconductor/ferromagnet/superconductor Josephson junctions (JJs) with spin-orbit interaction is proposed. The predicted indirect magnetic interaction is long-range, that is its range is not restricted by the proximity length scales in the superconductor. It is based on the magnetoelectric coupling between the condensate phase difference and the magnetization in the interlayer of the S/F/S JJ, which is realized in the form of the anomalous ground state phase shift. The interaction is mediated by the superconducting phase of the middle superconductor, which is a macroscopic quantity and interacts with the both magnetizations in the presence of the anomalous phase shift. The mutual orientation of the ferromagnetic interlayers can be manipulated by the externally controlled superconducting phase between the leads.
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