In order to overcome the transient thermal effect of laser crystal for pulsed laser diode,the laser crystal thermal model of diode end pumped laser is established,furthermore,analytical method is used to investigate the transient temperature field distribution of Nd∶GdVO4 crystals.Considering that Nd∶GdVO4 crystal has a thermal conductive with anisotropic,the anisotropic heat conduction equation is used to solve the problem.As a result,general analytic expression of laser crystal temperature field is obtained,which is on the condition of quasi thermal equilibrium for the Nd∶GdVO4 crystal of super Gauss pulse laser end pumped.At the same time,the super Gauss order of Pulse laser,Gauss radius,pump power as well as pulse width can contribute to the distribution of transient temperature field of Nd∶GdVO4 Crystal.Quantitative analysis is carried out.According to our study:if Nd∶GdVO4 crystal （neodymium ion doped with a mass fraction of 1.2%）is end-pumped with 40 W power,100 Hz pulse frequency and 80 ms pulse width,the temperature will come to a state of quasi thermal balance.The temperature field will present a sawtooth cycle between 28.8 ℃ and 38.1 ℃.As a result,thermal distortion of crystal surface also present a periodic variation between 0.065 μm and 0.092 μm.The results in our study have theoretical significance for thermal focal length analysis and the design of heat-insensitive resonator.