In order to rationally design laser resonator and develop a pulsed all-solid-state slab laser, based on the heat conduction theory, temperature and deformation field in thermal equilibrium state of laser slab side-pumped by pulsed-diode-bar were analytically investigated. Through working on characteristics analysis of laser slab side-pumped by pulsed-diode-bar, a thermal analysis model of laser slab was established. Considering that the pump light intensity of pulsed-diode-bar has super-Gaussian distribution and the laser slab with the characteristics of anisotropic thermal conduction, a general transient temperature field analytical expression of anisotropic thermal conduction laser slab by pulsed-diode-bar side-pumping was obtained by the Poisson equation. The temperature variations of NdYVO4 and NdGdVO4 slab side-pumped by single pulse and repetitive pulse were comparatively analyzed. And the deformations of pump surface of the NdYVO4 and NdGdVO4 slabs in thermal dynamic equilibrium state were quantitatively calculated. The results show that, when the transient temperature field of laser slab reaches thermal dynamic equilibrium state, the maximum and the minimum temperature rise in NdYVO4 slab are 34.8 ℃ and 32.4 ℃, but in NdGdVO4 slab the maximum and the minimum temperature rise are 30.2 ℃ and 27.0 ℃. The maximum and minimum deformations of NdYVO4 slab are 0.98 μm and 0.89 μm, but in NdYVO4 slab the maximum and minimum deformations are 0.29 μm and 0.24 μm.