Smc2/4 forms the core of the Saccharomyces cerevisiae condensin, which promotes metaphase chromosome compaction. To understand how condensin manipulates DNA, we used two in vitro assays to study the role of SMC (structural maintenance of chromosome) proteins and ATP in reconfiguring the path of DNA. The first assay evaluated the topology of knots formed in the presence of topoisomerase II. Unexpectedly, both wild-type Smc2/4 and an ATPase mutant promoted (؉) chiral knotting of nicked plasmids, revealing that ATP hydrolysis and the non-SMC condensins are not required to compact DNA chirally. The second assay measured Smc2/4-dependent changes in linking number (Lk). Smc2/4 did not induce (؉) supercoiling, but instead induced broadening of topoisomer distributions in a cooperative manner without altering Lk 0 . To explain chiral knotting in substrates devoid of chiral supercoiling, we propose that Smc2/4 directs chiral DNA compaction by constraining the duplex to retrace its own path. In this highly cooperative process, both (؉) and (؊) loops are sequestered (about one per kb), leaving net writhe and twist unchanged while broadening Lk. We have developed a quantitative theory to account for these results. Additionally, we have shown at higher molar stoichiometries that Smc2/4 prevents relaxation by topoisomerase I and nick closure by DNA ligase, indicating that Smc2/4 can saturate DNA. By electron microscopy of Smc2/4-DNA complexes, we observed primarily two protein-laden bound species: long flexible filaments and uniform rings or "doughnuts." Close packing of Smc2/4 on DNA explains the substrate protection we observed. Our results support the hypothesis that SMC proteins bind multiple DNA duplexes.SMC (structural maintenance of chromosome) proteins are the central components of several multiprotein complexes that help to organize chromosomes throughout the cell cycle (1-5). Understanding the properties of the SMC proteins may illuminate their essential function in cohesin, condensin, "compensin," repair complexes containing Smc5/6, and recombination complexes (6 -10). Disruption of SMC function in prokaryotes and eukaryotes alike leads to chromosome instability, defects in repair and recombination, and death under conditions of rapid growth (11-15). The budding yeast Smc2 and Smc4 proteins form a heterodimeric ATPase (16) that, in combination with the non-SMC proteins Brn1, Ycg1, and Ycs4, comprises the holo-condensin enzyme. Holo-condensin drives global chromosome condensation at mitosis (4, 17, 18) and specific condensation of the rDNA locus at anaphase (19). The Xenopus 8 S condensin FF and the Schizosaccharomyces pombe Cut3/14 complex are examples of other stable condensin SMC pairs whose properties have been studied in some detail (20 -23).The SMC proteins are large (ϳ150 kDa) and contain five structural motifs that include N-and C-terminal globular domains, a central hinge domain (H), and two long ␣-helices (␣ N and ␣ C ) arranged as follows: N-␣ N -H-␣ C -C. Coiled-coil pairing of ␣ N and ␣ C folds a single...