Electron spin resonance study has been carried out on dilute copper manganese alloys over a temperature range from 1.8°K to 300°K. The relaxation rate is found to increase linearly with temperature over the temperature range where the susceptibility obeys Curie-Weiss' law. The temperature gradient of the relaxation rate has a concentration independent value of 0.96×108(sec.-1, deg.-1) for samples with manganese concentration between 0.03 and 0.3 atomic percent in the temperature range below 20°K. Above 0.3 atomic percent, it decreases to a value of 0.34×108(sec.-1, deg.-1) for the sample with 5.2 atomic percent manganese. The g -value of the localized spin is 2.010±0.005. It is shown that the experimental results for low concentration samples are well understood in terms of s – d interaction model. According to this model, observed relaxation rate should depend sensitively on the relaxation rate of conduction electron spins as observed, and this relaxation rate was determined as 4.6×1013c (sec.-1) where c is the manganese concentration. © 1969, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.