A procedure was devised for sequential cloning of chromosomal DNA by cyclical integration and excision of a plasmid vector so that slightly overlapping chromosomal segments are successively cloned. The method depends on circular integration of the vector into the chromosome of a host nonpermissive for its replication, and on excision and reduction of a recombinant plasmid by use of an appropriately designed set of restriction enzyme sites in the vector. A vector suitable for cloning in Escherichia coli was constructed by combining a segment of pBR322 with a gene encoding chloramphenicol resistance expressible in many species. Sequential cloning was demonstrated in Streptococcus pneumoniae by extending a previously cloned segment of the region of the chromosome encoding maltosaccharide utilization by 8 kb in three cycles of cloning. Accuracy of the method was confirmed by hybridization of cloned DNA with chromosomal restriction fragments. It is pointed out that the similarity of the requisite genetic processes in bacteria and yeasts should allow use of the method for sequential cloning of yeast chromosomal DNA and of human or other mammalian DNA in artificial chromosomes of yeast.