The transient processes of temperature rise and fall exist in laser crystal pumped by quasi-continuous-wave (CW) laser diode (LD).In order to solve thermal effect of laser crystal end-pumped by quasi-CW LD,a general analytical transient temperature filed expression of Nd:YAG rod end-pumped by the quasi-CW supper-Gaussian beam is obtained by the methods of eigen-function and constant variation,based on the heat conduct equation.Meanwhile,the influence of the quasi-CW pump beam with different waist radii,pulse widths and frequencies on the transient temperature filed of Nd:YAG rod,are quantitatively analyzed.The results show that for quasi-CW LD end-pumped Nd:YAG rod,the temperature of the rod has sawtooth distribution with time,which shows periodically stable distribution after some time,and it increases with the increase of the pump width or pump frequency.The research methods and results can also be used to analyze other transient thermal problems in laser systems.