Bovine chymosin is an essential food enzyme widely used in cheese production in the dairy industry. This study used a codon-optimized prochymosin gene to construct an expression cassette for extracellular expression of bovine chymosin in Kluyveromyces lactis. After integration of the prochymosin gene into the host cell genome, the single-copy integration strain KLUcym showed the clotting activity of 40 U/mL in a shake flask. The CRISPR/Cas9 system was employed to delete amdS and construct the double-copy integration strain and triple-copy integration strain, which achieved the clotting activities of 70 U/mL and 78 U/mL in shake flasks, separately. Subsequently, multiple rounds of UV mutagenesis were performed on the double-copy strain KLUcymD, and a recombinant K. lactis strain with a high yield of bovine chymosin was obtained. This strain achieved the clotting activity of 270 U/mL in a shake flask and 600 U/mL in a 5 L bioreactor after 76 h. In summary, we construct a strain KLUcymD-M2 for high production of bovine chymosin, which lays a foundation of industrial fermentation.