The modified screened Coulomb potential is obtained with considering the changes of plasma number density. Both the analytical results and molecular dynamical simulation show that the modification due to the changes of number density has a minor effect on the dynamical and structural properties of the two-dimensional dusty plasmas. However, further modifications including such as the particle size, ion drag force and pressure force possibly change the profile of the spherically asymmetric Coulomb potential. Motivated by the above speculation, the modified screened Coulomb potential with a set of margin parameters is used to investigate the dynamical and structural properties of the two-dimensional dusty plasmas. It is found that the diffusion of system is extensively decreased, particularly, a circle configuration is formed, which is similar ho the experimental observation of spherical assemble. Additionally, a uniform magnetic field is used to investigate the effects on the dynamical and structural properties of the two-dimensional dusty plasmas.