T4 polynucleotide kinase is widely used for 5'-phosphorylation of DNA and RNA oligonucleotide termini, but no natural protein enzyme is capable of 3'-phosphorylation. Here, we report the in vitro selection of deoxyribozymes (DNA enzymes) capable of DNA oligonucleotide 3'-phosphorylation, using a 5'-triphosphorylated RNA transcript (pppRNA) as the phosphoryl donor. The basis of selection was the capture, during each selection round, of the 3'-phosphorylated DNA substrate terminus by 2-methylimidazole activation of the 3'-phosphate (forming 3'-MeImp) and subsequent splint ligation with a 5'-amino DNA oligonucleotide. Competing and precedented DNA-catalyzed reactions were DNA phosphodiester hydrolysis or deglycosylation, each also leading to a 3'-phosphate but at a different nucleotide position within the DNA substrate. One oligonucleotide 3'-kinase deoxyribozyme, obtained from an N40 random pool and named 3'Kin1, can 3'-phosphorylate nearly any DNA oligonucleotide substrate for which the 3'-terminus has the sequence motif 5'-NKR-3', where N denotes any oligonucleotide sequence, K = T or G, and R = A or G. These results establish the viabilty of in vitro selection for identifying DNA enzymes that 3'-phosphorylate DNA oligonucleotides.