  We report results of the study of the recently discovered magnetic resonance
in the orbitally ordered phase of CeB6 (the orbital ordering resonance) in a
wide frequency range 44-360 GHz. It is found that the g-factor for this
resonance increases with frequency from g(44 GHz)~1.55 to g(>250 GHz)~1.7. In
addition to the orbital ordering resonance for the frequencies exceeding 200
GHz a new magnetic resonance with the g-factor 1.2-1.3 is detected.
