In this paper we discuss configurations of the heliospheric interface shaped by the influence of both the uniform interstellar and the interplanetary (Parker model — Archimedean spiral) magnetic fields in the presence of the neutral particles. Magnetic fields strongly affect the structure and the shape of the heliospheric interface, which becomes asymmetric for any configuration of the interstellar magnetic field (ISMF), for the case where the interplanetary magnetic field (IMF) is included. In particular, the interstellar magnetic field lines may merge with interplanetary magnetic field lines of opposite direction at the heliopause. This may possibly cause a reconnection of the magnetic field lines at the heliopause. © 2004 American Institute of Physics