Producing proteins incorporating non-natural amino acids can involve introducing genes into and knocking inherent genes out of eukaryote-type cells. Genes to be introduced include genes encoding eukaryote-type aminoacyl tRNA synthetase mutants having enhanced specificity to non-natural amino acids, compared with specificity to similar natural amino acids, and tRNA genes for non-natural amino acids capable of binding to the non-natural amino acids in the presence of the eukaryote-type aminoacyl tRNA synthetase mutants. Inherent genes to be knocked out include genes encoding aminoacyl tRNA synthetase having specificity to natural amino acids and tRNA genes capable of binding to the natural amino acids in the presence of the inherent aminoacyl tRNA synthetase.