We present an analysis of the xF3（x,Q2） structure function and Gross-Llewellyn Smith（GLS） sum rule taking into account the nuclear effects and higher twist correction. This analysis is based on the results presented in[N.M. Nath, et al., Indian J. Phys. 90（2016） 117]. The corrections due to nuclear effects predicted in several earlier analysis are incorporated to our results of xF3（x,Q2） structure function and GLS sum rule for free nucleon, corrected upto next-next-to-leading order（NNLO） perturbative order and calculate the nuclear structure function as well as sum rule for nuclei. In addition, by means of a simple model we have extracted the higher twist contributions to the nonsinglet structure function xF3（x,Q2） and GLS sum rule in NNLO perturbative orders and then incorporated them to our results. Our NNLO results along with nuclear effect and higher twist corrections are observed to be compatible with corresponding experimental data and other phenomenological analysis.
