We consider the system which is composed of a two-level atom and a tw o-mode cavity,and two modes are coupled in the cavity.The evolution of the stat e vector of the system is given.The squeezing,antibunching effect and the photon number statistical dist ribution of two-mode field are investigated.First,through calculating the fluct uations of two quadrature components of the field,we get that a-mode and b-mode of two-mode field do not both display squeezing.Second,by calculating second-order correlation function of two-mod e field,the results show that a-mode and b-mode o f two-mode field both display antibunching effects, and there is anti-correlation between the two modes.Third,by means of the numerical calculat ions,we plot evolution curves of Mandel Q function for different values of the coupling const ants between two modes.Through comparing these curves,the influence of coupling constant betwe en two modes on the photon number statistical distribution of the field is discussed.The evo lution curves of Mandel Q function show that the two-mode cavity field displays sub-Poisson dis tribution.Moreover,the sub-Poisson distribution is weakened with increasing of the coupling constant between two modes.