Here, we report the genome of phage SAP012, which was isolated against Salmonella enterica serovar Typhimurium. The SAP012 genome is 59,618 bp, with a G+C content of 56.2% and with no antibiotic resistance or virulence genes, and is quite similar at the nucleotide level to a number of previously sequenced Salmonella phage genomes, e.g., GenBank accession numbers KM366098.1 and KC139515.1.