Under appropriate conditions, digestion of phage T7 DNA by the type I restriction enzyme EcoK produces an orderly progression of discrete DNA fragments. AU details of the fragmentation pattern can be explained on the basis of the known properties of type I enzymes, together with two further assumptions: (i) in the ATP-stimulated translocation reaction, the enzyme bound at the recognition sequence translocates DNA toward itself from both directions simultaneously; and (is) when translocation causes neighboring enzymes to meet, they cut the DNA between them. The kinetics of digestion at 37TC indicates that the rate of translocation of DNA from each side of a bound enzyme is about 200 base pairs per second, and the cuts are completed within 15-25 sec of the time neighboring enzymes meet. The resulting DNA fragments each contain a single recognition site with an enzyme (or subunit) remaining bound to it. At high enzyme concentrations, such fragments can be further degraded, apparently by cooperation between the specifically bound and excess enzymes. This model is consistent with a substantial body of previous work on the nuclease activity ofEcoB and EcoK, and it explains in a simple way how cleavage sites are selected.The type I restriction enzymes EcoB and EcoK have a complex mode ofaction (reviewed in refs. 1-3). They act only on double-stranded DNA that contains a unique recognition sequence, TGAN8TGCT for EcoB and AACN6GTGC for EcoK (N = any nucleotide). Specific binding to these sites requires S-adenosylmethionine, and further reactions require (or, in the case of methylation, are stimulated by) ATP. In the presence of ATP, the state of methylation of the recognition sequence determines the course of the reaction: if both strands are methylated, the enzyme falls off the DNA; if one strand is methylated, the enzyme rapidly methylates the second strand; if neither strand is methylated, the enzyme hydrolyzes large amounts of ATP, translocates considerable lengths ofDNA, and cuts the DNA at seemingly random sites far from the recognition sequence. In the nucleolytic mode, the enzyme is used up in the reaction, apparently remaining bound at its recognition site. The effect of this complex set of reactions is to maintain resident DNA intact but to degrade unmethylated foreign DNA.One puzzling aspect of the nuclease activity of EcoB and EcoK has been how cleavage sites are selected in the DNA. We believe we have now discovered how this is done.