A method for acclimating a CPAP therapy patient to a prescribed pressure while the patient falls asleep. During an initial startup period, the CPAP apparatus applies a therapeutic IPAP pressure to the patient's airway and a lower initial EPAP pressure to the patient's airway. The EPAP pressure is ramped up to the IPAP pressure over a sufficient time for the patient to fall asleep. In a modified embodiment, both the initial IPAP pressure and the initial EPAP pressure are less than the prescribed therapeutic pressure. The IPAP and EPAP pressures are then independently ramped up to the prescribed therapeutic pressure.