  A gauge field model, which simultaneously has strict local gauge symmetry and
massive gauge bosons, is discussed in this paper. The model has SU(N) gauge
symmetry. In the limit $\alpha \longrightarrow 0$, the gauge field model
discussed in this paper will return to Yang-Mills gauge field model. The
important meaning of this model is that, without Higgs mechanism, gauge bosons
can also obtain masses. This theory can also explain some other unknown
phenomenum.
