In laser diode (LD) pumped solid state laser, spatial and time distribution of temperature both exist in crystal, spatial distribution is discussed much more than time distribution in many papers. The time distribution of temperature lies on the pumped mode of laser such as CW pumped and pulsed pumped, time-varying process exists in pulsed condition. Analytic method and finite element software are both used in the calculation of temperature time-varying distribution in laser diode pumped solid state laser, the influences of heating and cooling process are analyzed. The results show that heating process is influenced by pumped and cooling conditions, but mainly by pumped conditions such as pumped power and beam waist, cooling process is influenced by crystal radius, thermal physical parameters and cooling condition. Under the condition of pulsed laser diode pumped, radial temperature gradient and the resonator periodically change with time. After reasonable designing the resonator, lasers can periodically work in steady and unsteady states, which can obtain specifically laser output.