An ultrasonic-image-construction apparatus can construct an ultrasonic-tomographic image of a thin, layer-structured target object to be measured relatively easily and highly accurately in a manner in which such layered structure is easily understood. An ultrasonic transducer of an ultrasonic-image-constructing apparatus transmits ultrasonic waves to the target object. A reference substance makes contact with a base substrate, with such ultrasonic waves being incident on the target object via the base substrate, then receives an impulse response of an ultrasonic waveform. A computing means performs calculation to estimate acoustic-physical-property distribution in consideration of the multiple-reflections influence based on normalized-impulse information obtained from impulse-response information of such ultrasonic waveform incident on the reference substance and from impulse-response information of such ultrasonic waveform incident on the target object. The image-construction means constructs acoustic-physical-property-image data based on acoustic-physical-property distribution in the depth direction obtained by computing means.