A venous pressure measurement apparatus includes: a pressure controller that causes an internal pressure of a cuff to he attached to a subject, to change; a pressure detector that detects the internal pressure of the cuff; and a processor that causes the pressure controller to change the internal pressure of the cuff, acquires a statistical value relating to a distribution of amplitudes of a plurality of pressure changes corresponding to pressure vibration that occurs in the cuff, and that is detected by the pressure detector, and estimates a venous pressure of the subject based on a change of the statistical value due to the change of the internal pressure of the cuff.