In order to study the relationship between tree radial growth and climate in the Northwestern Yunnan Plateau, we collected tree-ring samples of Pinus densata, Pinus yunnanensis and Tsuga dumosa on Yulong Snow Mountain, and established residual chronologies of three species. Response function analysis and redundancy analysis were applied to analyze the relationship between the tree ring index and climatic factors. The results showed that: (1) In response function analysis, the radial growth of P. densata was significantly and positively correlated with the current February precipitation. The radial growth of P. yunnanensis was significantly and negatively correlated with the mean temperature and maximum temperature of current May, and was significantly and positively correlated with the mean temperature of current October. The radial growth of T. dumosa was significantly and positively correlated with the precipitation of current January and May and the relative humidity of current October, and was significantly and negatively correlated with the maximum temperature of current May. (2) In redundancy analysis, the precipitation of current January and February, and The Palmer Drought Severity Index (PDSI) of current May promoted the radial growth of three species, and the correlation coefficient of PDSI was the strongest. The increase in precipitation of current October enhanced the radial growth of P. densata and T. dumosa, while inhibited P. yunnanensis growth. (3) In general, winter precipitation, moisture conditions of May and October precipitation in the current year were main environmental factors affecting the radial growth of three species on Yulong Snow Mountain. If warming and drying trends intensified, it will not be conducive to the growth of the three tree species, thereby affecting the structure and function of the regional forest ecosystem. This article can provide reference for the research on climate sensitivity of different tree species, and then provide a scientific basis for exploring the forest dynamics in Northwest Yunnan under the background of climate change.