In recent years, with the continuous improvement of people’s quality of life, the demand for diversified beverages has been increasing, and the coffee machine market has been growing rapidly. Based on the above background and combined with the actual living conditions, a functionally integrated coffee brewing device is proposed. In this device, the integrated design is used in multiple structures to reduce the product volume, making it portable and practical, and at the same time, it can achieve full automation from cup fetching to coffee brewing process. In this paper, the pouring structure of the coffee brewing device is analyzed using ANSYS software. Taking into account the different weights of different water cups and the change of ambient temperature, the functional relationship between force load, ambient temperature, and stress deformation is established, and a high-precision response surface is constructed combined with the Kriging model to obtain the most suitable working conditions for the coffee brewing device. At the same time, the fatigue analysis of the cup bearing part in the device is carried out, and the fatigue life cloud map is obtained, which verifies the feasibility of the pouring structure.