  It is shown that gauge invariance of the operator \int dx
tr(A_{\mu}^{2}-\frac{2}{g \xi} x^{\nu} \theta_{\mu\nu} A^{\mu}) in
noncommutative gauge theory does not lead to gauge independence of its vacuum
condensate. Generalized Ward identities are obtained for Green's functions
involving operator \underset{\Omega \to \infty}{lim}\frac{1}{\Omega}
\int\limits_{\Omega} dx tr(A_{\mu}^{2}) in noncommutative and commutative gauge
theories.
