The work aims to analyze the influence of screen parameters, printing process and ink viscosity on screen printing process. With the print line width, line thickness and printing roughness as the evaluation indexes, the physical models of ink filling the mesh, ink transfer from the mesh to the substrate and ink spreading on the substrate were established in the static description method according to the fine screen printing process. The effect of screen parameters, printing process and ink viscosity on the screen printing process was explored by conducting experiments. Under the same printing conditions, the description model for the line width value corresponding to each influencing factor was established to compare the influencing factors. The narrower the line width was, the greater the influence degree of the description model was. Combined with the mathematical model for the minimum dot diameter, mesh number and line diameter, it was known that the selection of the screen was related to the minimum dot diameter. The smaller the minimum dot diameter was, the better the selected screen was. In a certain range, the smaller the doctor blade angle, the greater the doctor blade pressure and the faster the doctor blade speed, the better the quality of the printed matter. Beyond this range, the quality of the printed matter would be affected. The off-screen spacing should be neither too wide nor too narrow. When the doctor blade angle was 60° and the doctor blade speed was 0.08 m/s, the best off-screen spacing was 2 mm. The influence of the viscosity of nano-silver conductive ink on the printing quality was not synchronous. In pursuit of the prints with low thickness and small roughness, the low viscosity ink should be selected. In pursuit of the narrow line width, the high viscosity ink should be selected. The order of the influence degree of the following factors on the fine screen printing quality from high to low is screen parameters＞doctor blade pressure＞off-screen spacing＞ink viscosity＞doctor blade angle＞doctor blade speed.