Non-invasive measurement of intracranial pressure (ICP), for example mean ICP. A probe adjacent the head emits energy, such as ultrasound, and receives reflected signals. A processing unit derives ICP waveform from the signals. A pressure mechanism applies external pressure intermittently to outer surface of the head and incrementally increases the external pressure. The processing unit is configured to detect a decrease in amplitude of the ICP waveform (occurring in some embodiments only after an intermediate period of ICRS compensation), the processing unit configured to determine the ICP of the person from a sum of applied external pressures from a time of the initial value A1 until a final value at which the amplitude remains stable with additional increase in applied external pressure. In some cases, the final value is earlier than that but the processing unit extrapolates the sum to when the amplitude remains stable with additional increases in pressure.