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We predict the possibility of the interference of narrow-band biphotons generated by spontaneous four-wave mixing with double electromagnetically induced transparency configuration in cold atoms.In an N-type fourlevel system,an auxiliary optical field Ωm can create double transparency windows for anti-Stokes photons.When the slow light effects in the double transparency windows are very strong,two four-wave mixing channels could exist due to the splitting of the phase matching condition.The biphoton generated from the two four-wave mixing channels can cause interference and shows Rabi oscillations in two-photon correlation.This interference mechanism will complement the understanding of interference at the two-photon level.