The present invention relates to novel glucagon peptides, to the use of said glucagon peptides in therapy, to methods of treatment comprising administration of said glucagon peptides to patients in need thereof, and to the use of said glucagon peptides in the manufacture of medicaments. The glucagon peptides of the present invention are of particular interest in relation to the treatment of hyperglycemia, diabetes and obesity, as well as a variety of diseases or conditions associated with hyperglycemia, diabetes and obesity.