A tandemly repeated sequence within the genome of vaccinia virus is cut to fragments of approximately 70 bp by Hinf I, Taq I or Mbo II. The 70 bp repetition was localized within the much larger (10,300 bp) inverted terminal repetition by restriction analysis of cloned DNA fragments and by hybridization of the purified 70 bp repeat to vaccinia virus DNA restriction fragments. The molar abundance of the 70 bp fragment corresponds to a 30 fold repetition at each end of the genome. The repeating restriction endonuclease sites were mapped by agarose gel electrophoresis of partial Hinf I digests of the terminally labeled cloned DNA fragment. The first of 13 repetitive Hinf I sites occurred approximately 150 bp from the end of the cloned DNA. After an intervening sequence of approximately 435 bp, a second series of 17 repetitive Hinf I sites occurred. The DNA between the two blocks of repetitions has a unique sequence containing single Dde I, Alu I and Sau 3A sites. Tandem repeats within the inverted terminal repetition could serve to accelerate self-annealing of single strands of DNA to form circular structures during replication.