Zero - field muon spin relaxation measurements have been carried out o
n a high-quality single-crystal sample of the paramagnetic heavy-fermi
on compound CeRu2Si2 from 5K to 300K. The observed relaxation at each
temperature was well fitted by a function described by the product of
a Kubo-Toyabe type and an exponential one. The temperature dependence
of the Kubo-Toyabe relaxation rate sigma(ZF) shows an almost constant
value (0.03 mus-1) which is comparable to the calculated linewidth due
to nuclear dipole fields from Ru-99 and Ru-101) atoms assuming the po
ssible mu+ stopping sites for the ThCr2Si2 structure. On the other han
d, we observed an increase of the exponential relaxation rate lambda(Z
F) to a value of congruent-to 0.02 mus-1 with decreasing temperature b
elow about 100K. This suggests a contribution of Ce 4f moments.