Populus euphratica Oliv. is a poplar species that is distributed mainly in deserts, making it an interesting model in which to investigate molecular mechanisms underlying different stress responses. Here, we used molecular population genetic methods to detect potential selection in candidate genes belonging to the P. euphratica glutathione (GSH) peroxidase (Gpx) family, which are associated with an enzymatic mechanism that combats oxidative damage caused by reactive oxygen species (ROS) in plant cells; earlier studies have shown that Gpx proteins play important roles in coping with increased ROS levels during biotic and abiotic stresses in plants. We analyzed the nucleotide diversity and divergence patterns of five loci encoding Gpx genes, and 16 reference loci used as controls, in order to detect departures from the neutral expectation. Gpx1 has an excess of mid-frequency alleles; high intraspecific nucleotide diversity, distributed in the upper tail of the simulated neutral model; and extensive LD, showing strong evidence of balancing selection/local adaptation. The Gpx3.2 gene exhibits very low nucleotide diversity and divergence, suggesting that it has evolved under strong purifying selection. We failed to detect any evidence for natural selection at the other loci (Gpx2, Gpx4, and Gpx5) compared with the reference loci. The results show that nucleotide diversity and/or divergence differ greatly between members of the Gpx gene family, resulting from differential selective pressure acting on genes, and that adaptive evolution influenced the distribution of P. euphratica in desert regions.