The effect of nonperturbative and higher order perturbative corrections to all the free nucleon structure functions [FiN(x,Q2);i=1–5] in the deep inelastic scattering (DIS) of ντ/ν¯τ on nucleon is studied. The target mass correction and higher twist effects are incorporated following the works of Kretzer et al. and Dasgupta et al., respectively. The evaluation of the nucleon structure functions has been performed by using the Martin–Motylinski– Harland-Lang–Thorne 2014 parametrization of the parton distribution functions. The calculations have been performed at the next-to-leading order. These nucleon structure functions are used to calculate the DIS cross section by further including the kinematical corrections due to τ-lepton mass. Due to the inclusion of lepton mass two additional structure functions F4N(x,Q2) and F5N(x,Q2) become non-negligible. The results for the nucleon structure functions, differential and total scattering cross sections are presented. The various effects considered in this work are effective in the different regions of x and Q2, and quite important in the energy region of Eντ/ν¯τ<15 GeV. A comparative study of our results with the existing results in the literature for the cross sections is made in the energy region of interest for the DUNE, SHiP, DsTau and HyperK experiments proposed to be done in the near future.