The magnetic properties of Ce(Ru1-xRhx)2Si2 solid solutions have been investigated by Si-29 NMR. The triangular pattern (below T(N) = 5.5 K) of the Si-29 NMR spectrum for x = 0.15 suggests that the weak antiferromagnetic (AF) order is complicated, such as the SDW. The 1/T1 of Si-29 for nonmagnetic (x = 0 and 0.5) and AF(x = 0.15 and 1.0) compounds are presented.