An analytical study of transient heat conduction process with moving heat source/sink was considered. In this study a closed-form solution for the heat conduction equation is obtained. Using the obtained solution, the spatial temperature distribution and the temperature time history could be obtained. The obtained results are compared with numerical and experimental data in the literature. The comparison shows that the present solution can be used do determine the effect of different heat flow parameters on the temperature pattern and history in any similar heat conduction problem.