Precise correction for γ ray attenuation in the skull bone is essential when obtaining quantitative single-photon emission computed tomography (SPECT) images of the brain. Correction for γ ray attenuation is approximately proportional to the density and thickness of the bone under investigation. Therefore, if the acoustic impedance and speed of sound in the bone are measurable using ultrasonic techniques, then the density and thickness of the bone sample can be calculated. We propose a method for determining simultaneously the thickness of and speed of sound in the skull bone through in vivo measurements; the principle being that the time delay between two discrete transmission paths will yield the desired information. Thus, it is necessary to distinguish between the responses of these two transmission paths. The proposed method incorporates the pulse compression method to measure the time delay between detected transmission paths and reduce dispersion in the transmission line, thus increasing the signal-to-noise (S/N) ratio and significantly improving measurement accuracy. Using the proposed pulse compression method, the speed of sound in a number of materials was obtained, with the following results: 5 mm-thick poly methyl methacrylate(PMMA) plate, 2620±130 m/s; compact bone, 3820±250 m/s; spongy bone, 1930±90 m/s. The errors in thickness indicated by these measurements were 5.6%, 7.2% and 12% for the PMMA plate, compact bone and spongy bone, respectively. Thus, using a thin transmission line, the proposed method makes it possible to determine the thickness of a bone sample with sufficient accuracy. It is anticipated that this method, which is based on ultrasonic measurements, will be useful for application in brain SPECT.