Endogenous brain rhythms occurring at various frequencies and associated with distinct behavioral states provide multiscale temporal windows that enable cells to time their spiking activity with high precision, which is thought to be important for the coding of information in neuronal circuits. However, although the selective timing of GABAergic inputs to specific spatial domains of principal cells are known to play key roles in network oscillations, the in vivo firing patterns of distinct hippocampal interneurons in awake animals are not known. Here we used a combination of juxtacellular labeling techniques with recordings from anesthesiafree, head-fixed mice running or resting on a spherical treadmill to study the oscillation-dependent discharges by two major interneuronal subtypes, the perisomatically projecting parvalbumin-positive basket cells (PVBCs) and distal dendritically projecting oriens lacunosum moleculare (OLM) cells. Recordings of the spiking activity of post hoc-identified CA1 interneurons during theta (5-10 Hz), gamma (25-90Hz), epsilon ("high-gamma"; 90-130 Hz), and ripple (130-200 Hz) oscillations revealed both cell type-and behavioral state-dependent entrainments of PVBC and OLM cell discharges in awake mice. Our results in awake mice differed in several respects from previous data on interneuronal discharge patterns in anesthetized animals. In addition, our results demonstrate a form of frequency-invariant, cell type-specific temporal ordering of inhibitory inputs in which PVBC-derived perisomatic inhibition is followed by OLM cell-generated distal dendritic inhibition during each of the network oscillation bands studied, spanning more than an order of magnitude in frequencies.B rain state-specific network oscillations in the theta, gamma, epsilon, and ripple frequencies reflect the temporally structured, coordinated activation of principal cell populations in the hippocampus and its connected structures (1-5). These distinct oscillations with their characteristic frequency bands occur during different behaviors. Theta oscillations, which often appear with nested gamma and epsilon oscillations, are prominent during locomotion and rapid eye movement (REM) sleep, whereas ripple waves are present mostly during consummatory states, quiet wakefulness, and slow-wave sleep (6-11). The various oscillatory patterns likely serve distinct computational roles in the circuit. For example, the differential phase coupling of epsilon and gamma oscillations to theta oscillations in the CA1 has been suggested to route information selectively from the entorhinal cortex and CA3 (ref. 12, but also see refs. 13 and 14). In general, network oscillations occurring at different timescales are associated with the encoding, consolidation, and retrieval of information, and experimental perturbation of the phase-locked firing during distinct oscillations results in functional deficits (15,16).It has been recognized that different GABAergic cell types innervating specific postsynaptic domains release GABA at particular t...