In order to select suitable solar pumped laser materials, a theoretical model is established based on the four-level rate equation, taking the solar spectrum into account. By this model, the pump intensity thresholds of Nd
3+:YAG, Nd
3+:glass, Nd:Cr:GSGG (Nd
3+:Cr
3+:Gd
3Sc
2Ga
3O
12), Cr
3+:BeAl
2O
4and Cr
3+:Nd
3+:YAG for the different pump schemes are analyzed. The results show that the pump intensity threshold of Nd
3+:YAG is 448 sun constant when it is side pumped by a single beam and is 224 sun constant when it is side pumped inside a ellipsoidal cavity, respectively, indicating that Nd
3+:YAG is suitable for solar pumped laser material. Due to the special structure of the ellipsoidal cavity, the pump intensity threshold is relatively low when it is side pumped inside a ellipsoidal cavity. The relationship between the pump intensity threshold and the diameter of the material is also analyzed. The model could be applied to select suitable materials which are easier to achieve laser output from the existing laser materials.