Glucagon-like peptide-1 receptor (GLP-1R) is a promising molecular target for developing drugs treating type 2 diabetes. We have predicted the complete three-dimensional structure of GLP-1R and the binding modes of several GLP-1R agonists, including GLP-1, Boc5, and Cpd1, through a combination of homology modeling, molecular docking, and long-time molecular dynamics simulation on a lipid bilayer. Our model can reasonably interpret the results of a number of mutation experiments regarding GLP-1R as well as the successful modification to GLP-1 by Liraglutide. Our model is also validated by a recently revealed crystal structure of the extracellular domain of GLP-1R. An activation mechanism of GLP-1R agonists is proposed based on the principal component analysis and normal mode analysis on our predicted GLP-1R structure. Before the complete structure of GLP-1R is determined through experimental means, our model may serve as a valuable reference for characterizing the interactions between GLP-1R and its agonists.