This disclosure describe three related novel methods for Recombinase-Polymerase Amplification (RPA) of a target DNA that exploit the properties of the bacterial RecA and related proteins, to invade double-stranded DNA with single stranded homologous DNA permitting sequence specific priming of DNA polymerase reactions. The disclosed methods has the advantage of not requiring thermocycling or thermophilic enzymes. Further, the improved processivity of the disclosed methods allow amplification of DNA up to hundreds of megabases in length.