Considering the poor mode-field confinement characteristics of graphene-coated circular nanowire structures and the difficulty of coupling them with commonly used linearly polarized light sources, two types of graphene-coated elliptical nanowire pairs are proposed in this work. Finite element modeling is used to study the dependence of the graphene plasmon mode characteristics on the geometric and physical parameters of the structures. Simulation results show that the arrangement direction of the double elliptical nanowires, distance between the nanowires, ratio of the long and short axes of the ellipse, and graphene chemical potential have a significant effect on the transmission performance of the plasmon mode. The proposed graphene-coated elliptical nanowire pairs can realize long-distance transmission and subwavelength confinement, and it has potential application value in the fields of tunable nanophotonic devices and infrared sensing.