The laser characteristics of the Nd-La∶CaF2 and Nd-Sc∶CaF2 co-doping disordered crystals pumped by a 790 nm laser diode were studied. Absorption spectrum and lasing performances of Nd: CaF2 crystal with different La3+-Sc3+ doping concentration were studied respectively. Under the pump power of 5 W, the laser power of 1.10 W and 0.64 W are obtained with the co-doping of 0.5 at.% Nd3+, 5 at.% La3+∶CaF2, 0.5 at.% Nd3+and 3 at.% Sc3+∶CaF2 respectively, corresponding to the slope efficiencies of 23.0% and 12.8% respectively. The laser threshold for both crystals is as low as 10 mW. The results show that the new co-doped crystals are promising laser mediums for high power and high efficiency diode pumped solid-state lasers.