A human chromosome 3-specific cosmid library was constructed from a somatic cell hybrid containing human chromosome 3 as its only human component. This library was screened to identify 230 human recombinants which contained an average insert size of 37 kilobases. DNA prepared from 54 of these cosmids, representing 2000 kilobases of human DNA, was then tested for restriction endonuclease sites for EcoRI, HindIII, KpnI, XhoI, and DraI, as well as those of the rare-cutting restriction endonucleases NotI, SfiI, NruI, MluI, SacII, and BssHII. Sites for the latter enzymes were much more abundant than would be expected from theoretical calculations, reflecting non-random clustering of these sites. This has important implications for the use of these enzymes in the construction of physical maps of chromosomes. Some individual cosmids contained large numbers of rare sites, offering an alternative means of physically mapping chromosomes based upon identifying clusters of rare restriction sites. These clusters appear to be spaced an average of 1000 kb apart.