In an acoustic wave measurement apparatus and an operation method of an acoustic wave measurement apparatus, by reducing the measurement method selection work or the measurement result selection work of the operator, it is possible to measure a measurement target quickly and easily with less effort and perform measurement with reduced variations by the operator. An acoustic wave measurement apparatus (1) includes: an image display unit (14) that displays an acoustic wave image； a measurement target designation receiving unit (28) that receives designation of a measurement target； a position designation receiving unit (30) that receives designation of a position of a measurement target on the acoustic wave image displayed on the image display unit (14)； a measurement method information receiving unit (32) that receives measurement method information indicating a measurement method； a detection measurement algorithm setting unit (29) that sets a detection measurement algorithm based on the measurement target received by the measurement target designation receiving unit (32) and the measurement method information received by the measurement method information receiving unit (32)； and a measurement unit (31) that detects the measurement target based on the received position and the detection measurement algorithm and performs measurement for the detected measurement target.
