A method for ultrasonic living body tissue characterization using a transducer and processor. The method includes the steps of transmitting an ultrasonic pulse into the tissue and receiving a reflected pulse, calculating the normalized power frequency spectrum of the reflected pulse, determining the frequency at which the maximum value for the power spectrum occurs, determining the high and low half power frequencies, calculating the upper and lower frequency ratios of the maximum value frequency and the half power frequencies, and determining the power exponent of the frequency of the reflection coefficient. The frequency exponent of the reflection coefficient is used to calculate the attenuation slope of the ultrasonic wave. The attenuation slope or the reflection power exponent is used to generate a tomographic image of the living tissue characteristics for visual non-invasive tissue diagnosis. The attenuation slope and/or the reflection power exponent tomographic image or the others can be combined with a reflection intensity tomographic image or the others to produce other diagnostic images.