Metasurfaces have attracted extensive attention due to their powerful functions, especially the manipulation of the polarization state of electromagnetic wave in many different areas, which have aroused a lot of research interest. In this work, a broadband transmission polarization converter based on V-shaped element array in terahertz band is designed and analyzed, which consists of grating-V-shaped metasurface-grating. The top layer and bottom layer form a pair of crossed gratings, and the middle layer is a V-shaped metasurface, and the layers are separated by polyimide. The structure parameters of the polarization converter are optimized by CST microwave studio, changes of which can result in narrow band or low transmission. Cross-polarization transmission rate and polarization conversion rate can reach more than 80% and 99%, respectively, in a frequency range from 0.35 THz to 1.11 THz. By studying the electric field distribution in the substrate under the V-shaped metasurface , it is found that the real part of the cross-polarization electric field between adjacent V-shaped metasurfaces presents similar values in a frequency range from 0.35 THz to 1.11 THz, resulting in high cross-polarization transmission. However, the real part of the cross-polarization electric field between adjacent V-shaped metasurfaces presents opposite values, resulting in low cross-polarization transmission at 1.40 THz. At the same time, the responses of the single layer structure of the V-shaped array and the bi-layer structure of the grating placed behind the V-shaped array to vertically incident x-polarized terahertz waves are investigated respectively, and the results show that the single-layer V-shaped array can convert part of linearly polarized incident light into cross-polarization light, however, in the bi-layer structure, Fabry-Perot cavity is formed between the V-shaped array and the grating, and the cross polarization transmission increases. This indicates that the V-shaped array provides the capability of polarization conversion, and the existence of the grating makes the F-P cavity inside the structure create the conditions for the back and forth reflection of terahertz waves. The combined action of the V-shaped metasurface and orthogonal grating results in a high polarization conversion rate.