We present a statistical model for the delay profile of ultra-wideband channels in indoor environments. Two kinds of profiles are defined, namely the multipath intensity profile (MIP) and the power delay profile (PDP). The MIP is he delay profile at a point in space, while the PDP is a local spatial average. The model is based on 60,000 complex frequency response measurements from 20 commercial buildings and 20 residential homes, with the transmitter and receiver both in line-of-sight (LOS) and non-line-of-sight (NLS) of each other. Simulations using the PDP model show excellent statistical agreement with the measured data.