The fast response temperature sensor is an effective tool for measuring the temperature of internal combustion engine, in order to improve the performance of fast response temperature sensor, and the Coiflet wavelet finite element method is applied in analyzing the heat transfer rules of fast response temperature sensor. Firstly, the related research progress on the performance analysis of fast response and wavelet finite element method is summarized, respectively, and research significance of heat transfer of fast response sensor based on Coiflet wavelet finite element method is summarized in detail. Secondly, the basic theory of fast response sensor is studied, and the new structure of the fast response temperature sensor is analyzed. Thirdly, the Coiflet wavelet finite element model of analyzing heat transfer of fast response sensor is constructed by combing the Coiflet wavelet scale function with traditional finite element method, and the theoretical models are deduced. Finally, the heat transfer simulation of fast response temperature sensor based on Coiflet wavelet finite element method is carried out, and simulation results show that the Coiflet finite element has higher computing precision and efficiency than traditional finite element method, and the heat transfer rules of fast response temperature sensor are also obtained.Keywords Coiflet wavelet finite element Á Heat transfer Á Fast response temperature sensor During the working process of the internal combustion engine, the temperature and pressure of the low-temperature working media can increase through the combustion of mixture refrigerant concluding air and petroleum fuels, and then the working media can do expansion work. In the process of combustion, the temperature of the working medium will suddenly increase, and the process time should be measured in seconds. Because temperature changes rapidly, the general temperature sensor has difficulty measuring the temperature of the working medium accurately, and therefore the fast response temperature sensor should be used. Currently, there are many sensors; however, these sensors have many disadvantages when they are used to measure the temperature of the internal combustion engine; for example, the platinum resistance thermometer has low response speed and big volume, the thermistor is volatile in high temperature, and the radiation thermometer is not suitable for measuring the temperature of closed cavity. Therefore, the new fast speed sensor should be used to measure the temperature of internal combustion engine, which has fast response when it is used to measure temperature of internal combustion engine. However, the temperature change in fast response sensor has strong nonlinearity when it is used to measure temperature of internal combustion engine, and therefore the advanced numerical analysis method should be used to analyze the temperature of fast response sensor. The wavelet finite element method has the characteristic of multi-resolution analysis, and the complex degree of nonlinear analys...