The influence of the degree of coupling mutuality on the onset of the regimes of complete, lag, phase, and generalized synchronization is studied. It is shown that the thresholds of onset of synchronous regimes generally decrease with increasing degree of coupling mutuality between oscillators. It is also found that, for the regime of generalized synchronization in the region of relatively large frequency mismatch, the threshold of onset of synchronous regime weakly depends on the coupling mutuality coefficient.