Describes a method for measuring the nuclear spin-lattice relaxation time T1 by the free precession technique, which offers certain practical advantages, particularly in the measurement of relative values of T1. The method is a simple modification of the original signal-growth technique of Carr and Purcell. Instead of measuring the time constant for the signal growth or the time required for the signal to go to zero (tn), the method is based on measuring the signal heights at only two points on the growth curve-one below and the other above tn. From theoretical considerations, it is shown that it is possible to determine this null point, and hence the relative values of T1, with the desired accuracy by the correct choice of these two points. It is also shown that this method can be adapted to measure absolute values of T1 with comparable accuracy. Some experimental results are presented to demonstrate the method.