We explore the concept that the gas tori inferred to exist around the
central black holes in many active galactic nuclei (AGN) have signific
ant magnetic pressure support. We derive the basic equations for magne
tically supported tori with a general axisymmetric B field involving t
oroidal and poloidal components. We treat strong and weak field limits
assuming the aspect ratio R/a larger than unity, where R is the major
radius of the torus, and a is the minor radius. For strong fields, th
e major radius is influenced by the B field, whereas for weak fields o
nly the minor radius is affected by the field. In the strong field lim
it, stability to kink perturbations is possible only for R/a approachi
ng unity, just where our theory breaks down. The weak field tori tend
to be kink stable for R/a less than or similar to 13. This suggests th
at magnetically supported tori in nature need to be ''fat'' in order t
o be stable. This appears to be consistent with observations of tori i
n AGN. We note that some fat disks around young stars and around more
evolved stars represent magnetically supported tori.