We report a theoretical study of the magnetic profiles of vortex pairs in dipolar coupling thin Ni[Formula: see text]Fe[Formula: see text] (Permalloy Py™) elliptical nanocylinders. We show that the external magnetic field route can control the magnetic phases at remanence. Although the isolated nanocylinder forms one vortex in the remanence, in the presence of another, the dipolar interaction can induce a vortex pair in each nanocylinder. Moreover, our results show that we can adjust the two pairs of the magnetic vortex via the external magnetic field route. For the major-axis route, the pair of magnetic vortices in a nanocylinder is entirely antiparallel to the pair of magnetic vortices in the other nanocylinder. In contrast, both nanocylinders’ pairs of magnetic vortices are completely parallel for the minor-axis route at remanence. In this case, the magnetic patterns are the same in both nanocylinders. As an application, we present the results for a pair of identical and coaxial Py elliptical (245 [Formula: see text] 405 [Formula: see text] 25 nm[Formula: see text]) nanocylinders separated by a nonmagnetic spacer of 50 nm.