Disclosed is an Oxyntomodulin peptide analogue comprising the amino acid sequence: His-(D-Ser)-Gln-Gly-Thr-Phe-Thr-Ser-Asp-(1-Nal)-Ser-Lys-Tyr-Leu-Asp-Glu-Lys-Ala-Ala-Gln-Glu-Phe-Val-Gln-Trp-Leu-Leu-Asn-(Aib)-Ala-Arg-Asn-Arg-Asn-Asn-Ile-Ala-Xaa38-Xaa39 (SEQ ID NO: 5) wherein Xaa38 is Cys, Cys-PEG, or is absent Xaa39 is Cys, Cys-PEG, or is absent and wherein the C-terminal amino acid is optionally amidated.