Provided are an electrode connecting structure that includes an adhesion layer formed between a graphene layer and a metal layer and an electronic device having the electrode connecting structure. The electrode connecting structure may include an adhesion layer formed of a two-dimensional material provided between the graphene layer and the metal layer. The graphene layer may be a diffusion barrier, and the adhesion layer may stably maintain the interface characteristics of the graphene layer and the metal layer when the metal layer is formed on a surface of the graphene layer.