We discuss one-loop electroweak corrections to the decay width of topo
nium. We calculate the energy-level shifts by expanding around the sol
ution of the Bethe-Salpeter equation in the instantaneous approximatio
n, in analogy with the positronium case. We show that first-order elec
troweak effects are suppressed by at least four powers of the strong c
oupling constant, and are therefore negligible compared with QCD corre
ctions. The calculation is manifestly gauge invariant and takes into a
ccount the contributions to the decay rate due to both Coulomb enhance
ment and phase space reduction effects.