The sound speed in biological tissues is important diagnostic information. Conventional methods of sound speed measurement generally require that transducers contact the specimen to measure its thickness. But this mechanical contact often causes deformation and affects the blood flow in living tissues, making it difficult to precisely evaluate the sound speed in biological tissues. A new method of sound speed measurement is proposed which does not require the contact of ultrasonic probes to living tissues. Precise measurement of travel times is made in the frequency domain and the sound speed in tissues is evaluated using the sound speed in fluid medium which the specimen is placed. The principle and results are discussed.