Recently graphene and negative refraction/superlens are extensively studied. Since the effective Hamiltonian describing the low-energy excitation of graphene is the same as the massless two-dimensional Dirac Hamiltonian, graphene exhibits unusual electronic properties different from those of the non-relativistic free electrons. Negative refraction has recently been realized in optics by using artificial materials called metamaterials. Negative refraction can make superlenses that have resolution beyond the diffraction limit imposed on usual lenses. After introducing briefly these two topics, this paper reviews the theoretical studies that combine them: design of graphene lenses for electrons that amplify evanescent waves and cause negative refraction.