According to the data interpolation problems of non-matched meshes in the simulation calculation of thermal-electric solid body field, a interpolation algorithm based on compactly supported radial basis function was proposed. The transfer matrix was derived and the calculation program used for data exchange between two non-matched meshes based on compactly supported radial basis function was developed. An example of several groups of temperature interpolation between two non-matched meshes was verified, and the influence of different parameters on calculation time and precision was analyzed. The result shows that the algorithm is efficient and accurate for data exchange calculation of solid body field coupling non matched meshes, especially for thermal-electric coupling interpolation.