Here, we report the complete genome sequence of bacteriophage BUCT660, which comprises a linear double-stranded DNA (dsDNA) genome of 272,720 bp and a G+C content of 47%. BUCT660 contains 316 open reading frames and 2 tRNA-encoding genes. The results of transmission electron microscopy (TEM) indicate that BUCT660 is a member of the family Caudooviricetes.