The problem of the gauge dependence of the zero gauge field component
condensate, A0 = const, is investigated in finite temperature SU(3) gl
uodynamics. The two-loop effective action W(A0,xi) is recalculated in
the background R(xi) gauge. The obtained result somewhat differs from
that of other authors. By straightforward calculation it is shown that
the two-loop effective action W(A0,xi) satisfies the generalized Niel
sen (Ward-type) identity and has a nontrivial minimum. Hence, gauge in
variance of the gluon condensation phenomenon is derived. A comparison
with Belyaev's method and results are also discussed.