Graphene possesses good properties as unusually high electron mobility, atomic layer thickness, and unique mechanical flexibility, which made it one promising material in the design of terahertz antennas. In this book chapter, we present a numerical analysis of a broadband dipole-loop graphene antenna for application in terahertz communications. The bidimensional method of moments (MoM-2D), with equivalent surface impedance of graphene, is used for numerical analysis. First, we review the principal characteristics of the conventional rectangular graphene dipole. Then, we consider the broadband graphene antenna, composed by one rectangular dipole placed near and parallel to a circular-loop graphene element, where only the dipole is feed. In this analysis, we investigated the effects of the geometrical parameters and the chemical potential, of the graphene material, on the overall characteristics of the compound antenna. Some results are compared with simulations performed with software based on finite element method. The results show that this simple compound graphene antenna can be used for broadband communications in the terahertz band.