  We investigate in this paper the structures of neutron and quark stars in
f(T) theory of gravity where T denotes the torsion scalar. Attention is
attached to the TOV type equations of this theory and numerical integrations of
these equations are performed with suitable EoS. We search for the deviation of
the mass-radius diagrams for power-law and exponential type correction from the
TT gravity. Our results show that for some values of the input parameters
appearing in the considered models, f(T) theory promotes more the structures of
the relativistic stars, in consistency with the observational data.
