Abstract: In order to study the Far-field propagation properties of non-paraxial partially coherent Hermite-cosine-Gaussian beams,the concept of partially coherent nonparaxial cosh-Gaussian (ChG) beams is introduced,and the Wigner distribution function was used ,their far-field analytical propagation expressions in free space are derived.The calculated results show that three parameters of f,fσ,g play key roles in determining the nonparaxiality of partially coherent Hermite-cosine-Gaussian beams.When g is a constant,the asymptotic value of the far-field divergence angle decrease with the fσ increasing.