A binary vector devoid of a plant selection-marker gene (designated as pSSA-F) was constructed to overcome bio-safety concerns about genetically modified plants. This vector carried chloroplast-targeted superoxide dismutase (SOD) and ascorbate peroxidase (APX) genes under the control of an oxidative stress-inducible (SWPA2) promoter, and was utilized to transform potato (Solanum tuberosum L.). Integration of these foreign genes into transgenic plants was primarily performed via PCR with genomic DNA. Twelve marker-free transgenic lines were obtained by inoculating stem explants. The maximum transformation efficiency was 6.25% and averaged 2.2%. Successful integration of the SOD and APX genes rendered transgenic plants tolerant to methyl viologen-mediated oxidative stress at the leaf-disc and whole-plant levels. Our findings suggest that this technique for developing selection marker-free transgenic plants is feasible and can be employed with other crop species.