We present the complete genome sequences of two strains of Teredinibacter turnerae, SR01903 and SR02026, shipworm endosymbionts isolated from the gills of Lyrodus pedicellatus and Teredo bartschi, respectively, and derived from Oxford Nanopore sequencing. These sequences will aid in the comparative genomics of shipworm endosymbionts and understanding of host-symbiont selection.