The stationary toroidal rotation of a plasma in an axisymmetric magnetic fi
eld is studied both analytically and numerically in the frame of Hall magne
tohydrodynamics (HMHD). The HMHD analogue of the Grad-Shafranov equation is
derived for an axisymmetric magnetic confinement configuration (like a tok
amak) in the form admitting the simple transition to the limit of one-fluid
magnetohydrodynamics (MHD). It is shown that HMHD restricts the freedom of
stationary plasma parameters more than one-fluid MHD. The stationary solut
ions of the certain class are optimized to reach higher values of the ratio
beta of the plasma pressure to the magnetic field pressure.