In this paper, the laser resonator of the diode-pumped self-mode-locked LNA laser had been analyzed and designed by using the methods of linear and nonlinear matrixes. The some characteristic parameters of LNA laser, such as the stability, the strength of the self-mode-locking, the change of beam spot size with intracavity normalized power, and nonlinear loss within resonator, have been calculated and optimized. The transform-limited pulses of 631-fs duration, corresponding to spectral width of 2.03-nm were obtained from the LNA laser in experiments. The time-bandwidth product and average output power of the laser were 0.34 and 11 mW, respectively. The theoretical simulation results are in good agreement with the experimental parameters of laser.