In this paper, the structural and single-particle motive properties of a two-dimensional dusty plasmas are investigated numerically by molecular dynamics simulation within the framework of a dissipative Yukawa model.The pair correlation function, the mean square displacement, the static structure factor, and the bond angle correlation function characterizing the structural properties, and the velocity autocorrelation function with Fourier spectrum function characterizing the single-particle motion have been calculated for different values of coupling constant Γ and viscous damping constant vf. The results show that the system will coagulate quickly with increasing viscous damping constant and coupling constant, and the critical value of friction parameter decreases with increasing the coupling constant in the system.