It is pointed out that the hyperfine field at B nuclei in CeB6 is attribute
d to the dipole-dipole interaction of the nuclear moment with the magnetic
moments of Ce ions and the transferred hyperfine interaction due to the 2s
and 2p states of B ion hybridized with the 4f states of Ce ions. Both contr
ibutions have the same order of magnitude, and account for the hyperfine fi
elds in the antiferro-quadrupolar ordering phase II and the paramagnetic ph
ase I.