Experiment 1 measured single‐electrode rate‐discrimination for two different electrodes (4 and 8) as a function of modulation depth. Stimuli were sinusoidally amplitude modulated, 200‐ms monopolar biphasic pulse trains with a 5000‐pps carrier rate, and an envelope frequency standard of 100 Hz, presented in a 2I‐2AFC paradigm. Four cochlear implant listeners (CILs), users of MedEL Pulsar processors, participated. Performance generally improved with increasing modulation depth and was better on electrode 4 than on electrode 8. Using pairs of modulation depths with similar single‐electrode performances, experiment 2 examined the combination of rate information across these two electrodes, when both electrodes were stimulated simultaneously with sinusoidal amplitude modulated pulse trains whose envelopes were either in phase or out of phase across electrodes. CILs‐1 and ‐2 performed worse in the out‐of‐phase condition than in the in‐phase condition. CIL‐3 performed better in the out‐of‐phase condition than in the in‐phase condition. CIL‐4 showed no difference. Although performance was sometimes better with dual‐channel than with single‐channel stimulation, re‐sults do not reveal a substantial and consistent benefit from combining information across electrodes. However, when modulation is applied to more than one electrode, results show that the phase relationship of envelopes across electrodes can affect a CIL’s ability to process modulation rate.