The traversing of fast electrons in dense D and T plasmas is discussed by different models with dynamical screening by means of dielectric functions. The traversing process is caused by a series of binary collision. It is found that the screening model with a classical dielectric function and Debye screening model only work in hot plasmas. Even for warm dense plasmas, the screening model with quantum dielectric function is reliable, which is well reproduced by the model with quantum static dielectric function. The related reasons are explored thoroughly. This work is helpful to study the transport of electrons in fully ionized dense plasmas.