The $q$-deformed statistical mechanics for fermions has been used to investigate the Thomas-Fermi screening length at finite temperature. Considering linear response, the calculations have been made at weakly nondegenerate regime. The results show that $q$-deformation has significance effects on screening length at higher temperatures. The results show that the $q$-deformation effects vanish at zero temperature limit and that more correction terms of deformation have more effects on screening length. The behavior of screening length is different for different values of $q$.