The intensive transient non-Fourier heat conduction caused by high power laser ignition and the classical heat conduction are analyzed. It indicates that laser ignition has a different heat transfer mechanism from the common case. From the point of view of mathematics, a wave equation is corresponding to this kind of transient heat conduction, while a diffusive equation is to classical problem. The analytic solution is also worked out at the given boundary and initial conditions. Where is the experiment results the calculation results are well matched with experiment. This will provide a theoretic basis to further study on the laser ignition.