The ratio of the gi-factors of 99Ru and ~~ has been measured accurately by the nuclear magnetic resonance method. Using hyperfine interaction constants from literature, the hyperfine structure anomalies of some atomic states of ruthenium are obtained.Although very accurate values for the hyperfine structure interaction constants for the two ruthenium isotopes 99Ru and t~ are available for some atomic states [1, 2] the determination of the hyperfine structure anomaly failed due to the fact, that the ratio of the gx-factors of both isotopes was not known accurately enough [3]. A measurement of the ratio of the gx-factors of the two ruthenium isotopes by the nuclear magnetic resonance method (NMR) is reported: The ruthenium isotopes 99Ru and l~ have both the spin I=5/2, a natural abundance of 12.7 % respective 17.1% and a Larmor frequency at 5.875 T of about 11.541 MHz and 12.935 MHz. The NMR signals have been observed with a Bruker WM250 Spectrometer at 294 K. Further experimental details can be found in the first NMR study on ruthenium in liquids recently performed [4]. The ratio of the Larmor frequencies has been measured several times in two different samples, a 1.2 molar solution of RuO 4 in CC14 (sample A) and a 0.6 molar solution of K4Ru(CN)6 in D20 (sample B). The NMR linewidths for the two isotopes are rather different due to the different quadrupole moments The results are given in Table 1 for the four states, 5F5, 5/:4, ~F3, 5F2, of the configuration 4d'5s. The hyperfine structure anomalies are not very large in these cases although a 5s-electron takes part in the atomic states. In Refs.[1] and [2] that part of a selectron is given, which contributes to the hyperfine structure in the different levels. One finds, that the coefficients of a s decrease in the same way as the HFSA given above.