The present invention relates to compounds with an extended duration of action at the glucagon receptor as compared to native glucagon. Specifically provided are glucagon receptor agonists with modifications to the structure of native glucagon introduced to selectively agonize the glucagon receptor over an extended period of time. In one embodiment, the invention provides a glucagon receptor agonist compound comprising the formula: YX1QGTFX2SDYSKYLDX3KKAX4EFVX5WLLEX6X7 wherein X1 is Aib； X2 is T； X3 is Aib； X4 is K which is chemically modified through conjugation to the epsilon-amino group of the K side-chain with ([2-(2-Amino-ethoxy)-ethoxy]-acetyl)2-(γGlu)a-CO-(CH2)b-CO2H, wherein a is 1 and b is 18； X5 is A； X6 is E； and X7 is absent； or a pharmaceutically acceptable salt thereof.
