We investigate the nonrotating neutron stars in $f(T)$ gravity with $f(T)=T+\alpha{T}^2$, where $T$ is torsion scalar teleparallel formalism of gravity. In particular, we utilize SLy and BSk family equations state for perfect fluid to describe stellar matter search effects modification on models stars. For positive $\alpha$, results a smaller mass comparison general relativity, while will conta...