It is pointed out that the retardation terms given in the original Fermi-Br
eit potential vanish in the center-of-mass frame. The retarded one-gluon ex
change potential is rederived in this paper from the three-dimensional one-
gluon exchange kernel which appears in the exact three-dimensional relativi
stic equation for quark-antiquark bound states. The retardation part of the
potential given in the approximation of order p(2)/m(2) is shown to be dif
ferent from those derived in the previous literature. This part is off-shel
l and no longer vanishes in the center-of-mass frame.