Evidence in the preceding paper indicates that the DNA molecules from bacteriophage T2 contain terminally repetitious nucleotide sequences. In the first part of this paper, we describe similar, but more extensive, experiments performed on T3 and T7 DNA molecules. Partial degradation of either phage DNA molecule by exonuclease III allows efficient conversion of the linear molecules into circular ones. Fragments of these molecules, which are not expected to be terminally repetitious, can be partially degraded under identical conditions, but they do not anneal to form circles. These facts indicate that T3 and T7, like T2 DNA, have terminally repetitious sequences. The second part of the paper deals with the non-permuted character of T3 and T7 DNA molecules. The complementary strands of each species of molecule were completely separated with alkali and then annealed. In both cases, this treatment produced predominantly linear duplex molecules of a length equal to that of the undenatured molecules. From this we conclude that the collection of molecules is non-permuted (i.e., they are a unique collection of sequences). When this experiment is taken together with earlier equivalent experiments on T2 DNA molecules, which are readily cyclized by this treatment, it appears that alkali denaturation and annealing is a rigorous test for the presence of multiple permutations. In sum, T3 and T7 DNA molecules are terminally repetitious but non-permuted; T2 DNA is terminally repetitious and permuted.