  In this paper, we will construct a gauge field model, in which the masses of
gauge fields are non-zero and the local gauge symmetry is strictly preserved. A
SU(N) gauge field model is discussed in details in this paper. In the limit
$\alpha \longrightarrow 0$ or $\alpha \longrightarrow \infty$, the gauge field
model discussed in this paper will return to Yang-Mills gauge field model. This
theory could be regarded as theoretical development of Yang-Mills gauge field
theory.
