Garden asparagus ( Asparagus officinalis) is a perennial, dioecious crop. Genomic DNA samples were prepared from five A. officinalis individuals that differ in sex and phenotypes, and sequenced with the MinION nanopore sequencer. The obtained data were 1.5–5 Gb/sample, and the average read length was larger than 1.4 kb for all the samples. The resulting reads were mapped to the existing A. officinalis genome sequence. The existing A. officinalis transcript sequences were mapped to the MinION-derived reads. On the basis of these mapping results, flanking sequences of five partial gene fragments that previously had not been mapped to any region of the existing genome were determined by genomic PCR followed by Sanger sequencing. These sequences enabled to estimate the genomic positions of those five partial gene fragments. The MinION-derived data and the flanking sequences of the five gene fragments were deposited in the NCBI (National Center for Biotechnology Information) SRA (Sequence Read Archive) database and the NCBI Nucleotide database, respectively.