Objective Gibberellin oxidases (GAoxs), including GA20 oxidase (GA20ox), GA2 oxidase (GA2ox), and GA3 oxidase (GA3ox), are key regulatory enzymes in the biosynthesis of gibberellin (GA) in plants, playing crucial roles in plant growth, development, and stress responses. This study is aimed to identify members of the the StGAox gene family from the whole genomes of diploid and tetraploid potatoes, and to conduct a compareative analysis of the evolutionary patterns of this gene family in potatoes with different ploidy levels, providing insights into the potential functions of StGAox in potatoes. Method Based on the whole genome information of three diploid and three tetraploid potatoes, bioinformatics methods were used to identify and the StGAox gene family and comparatively analyze the phylogenetic relationships, gene structure, chromosome localization, collinearity, gene replication patterns, subcellular localization, cis-acting elements, and expression patterns in stolons for members of this family in potatoes with different ploidy levels. Result A total of 35, 26, and 56 GAox homologous genes were identified in the diploid potatoe Solanum tuberosum group Phureja DM1-3 516 R44 (DM), S. chacoense M6 (M6), and S. tuberosum group Tuberosum RH89-039-16 (RH), respectively. In tetraploid potato varieties, S. tuberosum cv. Atlantic (Atl), S. tuberosum cv. Cooperation-88 (C88), and S. tuberosum cv. Otava (Ot), 99, 133, and 105 homologous genes were identified, respectively. These genes were unevenly distributed on 12, 24, or 48 chromosomes, with their encoded proteins mainly located in the nucleus, cytoskeleton, and chloroplasts. By comparative evolutionary analysis between diploid and tetraploid potatoes, as well as tomatoes and Arabidopsis, the genes were classified into three subfamilies: GA20ox, GA3ox,and GA2ox, with similar conserved protein motifs and gene structures. Collinearity analysis revealed varying degrees of translocation in the StGAox among the six potatoes. In terms of gene replication, compared with diploid potato DM, 21 and 51 collinear genes were found in the diploid potatoes M6 and RH, respectively, while 72, 117, and 95 StGAox genes in the tetraploid potatoes Atl, C88, and Ot, respectively, were identified as collinear genes. Cis-regulatory element analysis showed that stress-related CAAT-box, growth-related TATA-box, hormone-related CGTCA-motif, ERE and TGACG-motif, and light-response elements such as Box 4 and G-boxes were the most abundant. Expression patterns analysis indicated that differential expression of StGAox in stolons, with most having TPM values below 20. Additionaly, 31 StGAox genes were exclusively expressed in swollen stolons, while 12 genes had significantly higher expressions in swollen stolons compared to the apical hooked stolons. Conclusion A total of 454 GAox genes are identified in diploid and tetraploid potatoes, revealing the gene structure, motif composition, chromosome distribution, gene replication patterns, and expression profiles of the GAox family in stolons with different ploidy levels.