An improved technique for measuring very accurately the difference in sound velocity between two liquids is described. The technique, which can be used over a frequency range from 1 to 100 MHz, uses a differential cell that is completely submerged in a thermostatically controlled fluid and a phase-sensitive detection scheme accurate to 2×10-4 signal periods. Measurements of the velocity difference between water and dilute NaCl solutions (3×10-5 to 6.6×10-4 M), accurate to ±0.02 cm s-1 (relative accuracy 1 part in 107), are presented.