Abstract: The small punch test is an important mean to study the material properties of in-service equipment. The correlation between the experimental results and the traditional tensile test is the research focus. However, in the past, the research on the correlation between the small punch test and the traditional tensile test often ignored the influence of friction on the small punch test, and the result was too idealized. Furthermore, the data of the small punch test is difficult to obtain in large quantities. It is of great practical significance to establish an accurate stress-strain relationship of materials based on a small amount of data through the method of numerical simulation. In this paper, 304 stainless steel material was taken as an example. Through the relationship between the established small punch test data and the finite element numerical simulation data, the relationship between friction coefficient and sample correlation parameters was studied (the relationship between friction and test correlation is fully considered). The study found that the friction coefficient, and the correlation coefficient between the small punch test and the traditional tensile test results were linear, which provided a way for studying the stress-strain relationship of materials using data simulation method.