We study the interaction of planetary nebulae with a magnetized inters
tellar medium (ISM) and show that the ISM magnetic field cannot be ign
ored in analysis of the interaction of planetary nebulae with (PNs) wi
th the ISM. We show that stretching and bending of magnetic held Lines
can increase the effective pressure of the ISM. In particular, near t
he stagnation point of the flow of the ISM around the nebula, the ISM
magnetic pressure can overcome the thermal pressure, leading to strong
MHD instabilities even in isothermal flows. At early stages, when the
planetary nebula outer regions are still neutral, the ISM magnetic fi
eld can penetrate the nebula via ambipolar diffusion. As a result, whe
n pulled downstream by the flow, the magnetic field will strip the out
er layers of the nebula. The Rayleigh-Taylor and Kelvin-Helmholtz inst
abilities with wavenumbers along the magnetic held lines are suppresse
d. Therefore, the ISM magnetic field can break the cylindrical symmetr
ical nature of the interaction.