Experimental results on the nuclear spin-lattice and nuclear spin-spin relaxation times in the ferromagnetic EuB6 at temperatures below 4·2 K are presented using the external magnetic field,Hext, in the range of 0 ⩽Hext ⩽ 10 kG. Nuclear spin-spin relaxation time computed on the basis of the Suhl-Nakamura process turns out to be 3·2µs, which compares well with the experimental value 11·1µs obtained with the 10 kG magnetic field at 1·7 K. It is found that in the ferromagnetic EuB6,T1 is approximately 5 × 103 times larger thanT2 at 1·7 K with the 10 kG magnetic field. Thus the effect ofT1 onT2 can be neglected. From the experimental value ofT2, the value of the homogeneous line broadening is found to be 14 kHz. The corresponding value obtained from the cw method is 175 kHz. This evidently shows the presence of the inhomogeneous line broadening in the cw NMR.