Abstract: In order to study transmission characteristics of non-paraxial partially coherent Hermitian-cosine-Gaussian beam, the Wigner distribution function was used to analyze the characteristics in spatial and time domain. Their analytical propagation expressions with the three parameters of f,fσ,g were obtained for describing the space domain and frequency domain at the same time. The calculated results show that f and fσ play key roles in determining the non-paraxiality partially coherent Hermite-cosine-Gaussian beams, when g is constant. On the other hand, when g is changing, it can not preserve their shape while propagating in free space.