  We consider the equations of motion of an anisotropic space-time in $f(T)$
theory, where $T$ is the torsion. New spherically symmetric solutions of black
holes and wormholes are obtained with a constant torsion and the cases for
which the radial pressure is proportional to a real constant, to some algebraic
functions $f(T)$ and their derivatives $f_T(T)$, or vanish identically.
