The dynamical breaking of a generalized Yang-Mills theory is discussed.It is shown,in terms of theNambu-Jona-Lasinio mechanism,that the gauge symmetry breaking can be realized dynamically in the generalizedYang-Mills theory.The combination of the generalized Yang-Mills theory and the NJL mechanism provides a way toovercome the difficulties related to the Higgs field and the Higgs mechanism in the usual spontaneous symmetry breakingtheory.