N.M.R. relaxation of 65Cu N.M.R. in small Cu particles 100 Å, 50 Å, 25 Å and 15 Å in diameters, are measured at 1.4 K and 0.66 K. The relaxation in 25 Å and 15 Å particles is found to be much slower than that of bulk metal. It is concluded that this enhancement of T1 is the result of electron energy level quantization in small particles