There are over 100 known species of cultivated potatoes and their wild relatives. Many of these species, including cultivated potatoes, share the A genome; these species are mainly distributed in South America and are reproductively isolated from Mexican diploid species. The only diploid A-genome species distributed in Mexico is Solanum verrucosum Schlechtendal, which is also a maternal progenitor of Mexican polyploid species. In this study, we constructed a high-quality de novo assembly of the S. verrucosum genome using PacBio long-read sequencing and Hi-C scaffolding technologies. A monohaploid clone (2n=x=12) of S. verrucosum was used to reduce assembly difficulty due to the heterozygous nature of the species. The final sequence assembly consisted of 780.2 Mb of sequence, 684.0 Mb of which were anchored to the 12 chromosomes, with a scaffold N50 of 55.2 Mb. Putative centromeres were identified using publicly available data obtained via chromatin immunoprecipitation sequencing against a centromere-specific histone 3 protein. Transposable elements accounted for approximately 61.8% (482.1 Mb) of the genome, and 46,904 genes were functionally annotated. High gene synteny and similarity were revealed among the genomes of S. verrucosum, S. commersonii, S. chacoense, S. phureja, S. tuberosum, and S. lycopersicum. The reference-quality S. verrucosum genome will provide new insights into the evolution of Mexican polyploid species and contribute to potato breeding programs.