Thresholds for temporal irregularity, or jitter, were obtained under three conditions of binaural presentation of auditory pulse trains: (1) periodic pulses delivered to both ears; (2) periodic pulses randomly assigned between the separate ears; and (3) discarding the pulses randomly assigned to one of the ears in Condition 2. A strong test for preservation of temporal information by the binaural system for the analysis of jitter is furnished when thresholds under Condition 1 equal those under Condition 2. A null test for preservation of temporal information by the binaural system for the analysis of jitter is furnished when thresholds under Condition 2. equal those under Condition 3. Over a wide range of conditions, the null test is verified. Additional tests demonstrate that jitter thresholds are related to pitch differences at the separate ears.