Disclosed is a T7 RNA polymerase mutant having improved thermal stability and/or specific activity in comparison with wild-type T7-like bacteriophage RNA polymerase, wherein at least one amino acid residue corresponding to at least one of the amino acid residues selected from the group at least consisting of glutamine at position 768, lysine at position 179 and valine at position 685 of the amino acid sequence that composes wild-type T7 RNA polymerase shown in SEQ ID NO: 6, is substituted with another amino acid.