Orbitides are short (5-11 amino acid residue), ribosomally synthesized homodetic plant cyclic peptides characterized by N-to-C amide bonds rather than disulfide bonds. Orbitides can be discovered using mass spectrometry of plant extracts or by identifying DNA sequences coding for the precursor protein. The number of orbitides that have been characterized to date, by a number of different research groups, is modest. The nomenclatural system currently used for the Type VI cyclic peptides has been developed in an ad hoc fashion and is somewhat arbitrary. We propose a systematic naming system specifically for the Type VI cyclic peptides that reflects the taxonomic name of the species producing the orbitides and a numbering system that enables systematic representation of amino acid residues and modifications. The proposed naming system emulates the IUPAC Nomenclature for Natural Products and UniProt, both of which use abbreviations of taxonomic names for the compounds in question. Nomenclature for post-translational modifications also follows the IUPAC precedent, as well as the cyclic peptide literature. Furthermore, the proposed system aims to maintain agreement with the precedents set by the pre-existing literature. An example of the proposed nomenclature is provided using the methionine-containing homodetic peptides of Linum usitatissimum (flaxseed).