Construction of chimaeric DNA molecules in vitro relies traditionally on two enzymatic steps catalyzed by separate protein components. Site-specific restriction endonucleases are used to generate linear DNAs with defined termini that can then be joined covalently at their ends via the action of DNA ligase. A novel approach to the synthesis of recombinant DNAs exploits the ability of a single enzyme, vaccinia DNA topoisomerase, to both cleave and rejoin DNA strands with extreme specificity at each step. Placement of the CCCTT cleavage motif for vaccinia topoisomerase near the end of a duplex DNA permits efficient generation of a stable, highly recombinogenic protein-DNA adduct that can religate only to acceptor DNAs that contain complementary single-strand extensions. Linear DNAs containing CCCTT cleavage sites at both ends (bivalent substrates) can be activated by topoisomerase and inserted into a plasmid vector in a simple and rapid in vitro procedure that is especially well suited to the molecular cloning of polymerase chain reaction-amplified DNAs. Activation of polyvalent (e.g. branched) DNA substrates by topoisomerase offers a potentially powerful method for the synthesis of two- and three-dimensional polynucleotide networks.