Subcluster L3 bacteriophage Finnry was isolated from soil collected in Charleston, South Carolina, using Mycobacterium smegmatis mc2155 as a host. The genome of this temperate siphovirus is 75,632 bp long (130 predicted protein-coding genes, 9 tRNAs, and no transfer-messenger RNAs), and BLASTn alignment revealed 99.86% identity with the genome of L3 mycobacteriophage Samty.