There are provided an acoustic wave diagnostic apparatus and a control method of an acoustic wave diagnostic apparatus capable of performing reliable measurement with reduced burden on a user. An ultrasound diagnostic apparatus includes: a display unit (8) that displays an acoustic wave image; an operation unit (16) for a user to perform an input operation; a measurement item designation receiving unit (13) that receives designation of a measurement item relevant to a measurement target from the user; a detection measurement algorithm setting unit (11) that sets a detection measurement algorithm based on the measurement item; a position designation receiving unit (14) that receives designation of a position of a measurement target on the acoustic wave image from the user; a measurement unit (9) that detects the measurement target from the acoustic wave image based on the received position of the measurement target and the set detection measurement algorithm, measures the measurement target, calculates a measurement candidate, and displays the measurement candidate on the display unit (8); and a measurement candidate designation receiving unit (15) that receives designation of the measurement candidate from the user in a case where a plurality of measurement candidates are displayed on the display unit (8). The measurement candidate received by the measurement candidate designation receiving unit (15) is used as a measurement result.