Abstract: It proposes a viewpoint that the finite element method (FEM) might be well used in traffic flow models, among which a newly developed dynamics model is elaborated. In the discussion, it is foreseen that the new model is fundamentally sound and has much advantage over some well known traditional ones. In the FEM solution, the weak form of the model is properly constructed by means of weight residual method and equations for weak solution are given. Finally, it achieves some favorable results in the numerical simulation and this, in a degree, makes the argument convincing.