Real time monitoring of combustion temperature field and flue gas velocity field in boiler is important to ensure the operation of boiler safely and economically. The acoustic tomography (AT) is considered to be a non-intrusive and effective method that can give information about temperature distribution and flow field. In this article, a novel method based on AT technology is proposed to reconstruct the temperature and velocity fields simultaneously. A multi-physical field reconstruction model based on radial basis function is formulated, and the Tikhonov regularization algorithm is used to solve ill-posed problems. In addition, we consider the refraction effect of the sound waves in the process of reconstruction. The numerical simulation results show the effectiveness of the proposed measurement method in simultaneously reconstructing the complex temperature distribution and velocity field. When the refraction effect of the sound waves is considered, the method can significantly improve the reconstruction quality of various physical fields. The reconstruction method has good anti-noise performance and high reconstruction accuracy with the normalized root mean square error of less than 10% . The average calculation time of the simulation experiment is 31. 4 s, which can ensure the real-time performance of the acoustic measurement in the furnace. The proposed method of temperature and velocity fields simultaneous measurement can provide information to optimize the thermal fluid and combustion process in furnace.