In this paper the correlation in the energy spectrum and the persistent current of multi-channel disordered rings threaded by an Aharonov - Bohm magnetic flux are studied. The correlations of the persistent currents are found to be not as strong as those in single-channel disordered rings. The results show that, for a tight-binding model with N sites on the circumference and M sites on the cross-sectional plane, there are at least N - 1 zero crossings of the single-level currents, and at least N - 2 zero crossings of the total currents at zero and high temperatures.