The study firstly established oxidative stress injury model of human embryonic kidney cells (HEK293) by the induction of 2,2-azobis (2-methylpropionamidine) dihydrochloride (AAPH) to evaluate the antioxidant activity of five wheat protein-derived peptides Leu-Tyr (LY), Pro-Tyr (PY), Tyr-Gln (YQ), Ala-Pro-Ser-Tyr (APSY) and Arg-Gly-Gly-Tyr (RGGY). Then, it used quantum chemistry and molecular docking techniques to predict the optimal configuration and binding effect of five wheat protein-derived peptides combined with 2,2-azinobis-(3-ethylbenzthiazoline-6-sulphonate) (ABTS), and to explore the molecular mechanism of wheat protein-derived peptides. The results of cell test show that after the action of five wheat protein-derived peptides, the cell death rate significantly decreases to below 3.68% (P < 0.05), and the generation of reactive oxygen species (ROS) induced by AAPH was significantly reduced (P < 0.05), making the ROS content tend to normal levels. All five wheat protein-derived peptides show good total antioxidant capacity and free radical scavenging capacity of 1,1-Diphenyl-2-picrylhydrazyl (DPPH) (P < 0.05). RGGY shows the strongest total antioxidant capacity, with an activity value of (1.46 ± 0.08) mmol/L Trolox, followed by APSY, YQ, PY and LY. The DPPH free radical scavenging ability of YQ is the strongest, with a scavenging rate of 61.34% ± 2.24%, followed by APSY, RGGY, PY and LY. The results of molecular docking show that the CDOCKER interaction energy (-CIE) scores of the five wheat protein-derived peptides are 13.304 9, 13.397 3, 13.412 1, 16.768 5 and 16.268 3, respectively, which can effectively interact with ABTS, mainly through the formation of strong hydrogen bonds and hydrophobic forces between ABTS molecules to exert antioxidant activity.