The present invention provides materials and methods useful for error correction of nucleic acid molecules. In one embodiment of the invention, a first plurality of double-stranded nucleic acid molecules having a nucleotide mismatch are fragmented by exposure to a molecule having unidirectional mismatch endonuclease activity. The nucleic acid molecules are cut at the mismatch site or near the mismatch site, leaving a double-stranded nucleic acid molecule having a mismatch at the end or near end of the molecule. The nucleic acid molecule is then exposed to a molecule having unidirectional exonuclease activity to remove the mismatched nucleotide. The missing nucleotides can then be filled in by the action of, e.g., a molecule having DNA polymerase activity. The result is double-stranded nucleic acid molecules with a decreased frequency of nucleotide mismatches. Also provided are novel nucleic acid sequences encoding mismatch endonucleases, polypeptides encoded thereby, as well as nucleic acid constructs, transgenic cells, and various compositions thereof.