Univariate logistic regression revealed that combined variant (heterozygous + homozygous) genotype of CAT, GPX1, MnSOD, and GSTP1 gene polymorphisms is associated with an increased risk of developing AML (p = 0.003, OR = 12.68, and 95% CI: 2.36–68.01). This evidence concerns the gene CAT and acute myeloid leukemia.