Laser conduction limited heating finds wide application in surface processing industry. Modeling of the laser heating can give an insight into the physical processes. In this paper, repetitive long pulse laser heating of solid materials is considered, and an analytical solution for two-dimensional modeling of the temperature distribution is obtained using the method of separation of variables combining with Laplace transformation. It is found that the results obtained from the analytical solution agree well with the existing finite element method. Temperature distributions for different radial locations, axial locations, duty cycles and repetitive frequencies are calculated, and effects of these parameters on temperature distributions are analyzed. The results of this study can give some theoretical basis for revealing the mechanism of laser heating and provide some guidance for experiments of repetitive long pulse laser heating materials in the next work. (C) 2016 Elsevier Ltd. All rights reserved.