<正> Generalized Yang-Mills theory has a covariant derivative which contains both vector and pseudoscalargauge bosons.Based on this theory,we construct a U(4) strong interaction model By using this U(4) generalizedYang-Mills model,we obtain that mesons can be realized as the colorless pseudoscalar gauge bosons.We also obtain agauge potential solution which can be used to explain the asymptotic behavior and color confinement.