An efficient chemical procedure for the immobilization of carboxylate containing conjugate groups onto controlled pore glass (CPG) is described. The derivatized supports were used in the automated synthesis of an oligodeoxynucleotide (20-mer ODN) containing a 3' phosphodiester linked hexanol, aminohexyl, acridine, or cholesterol group. The stability of the oligomer in a hepatoma cell culture was found to be prolonged two to three fold by the presence of any of the 3' tails. By contrast, an aminohexyl group appended to the 5' terminus of the ODN only marginally improved its nuclease resistance. These data support the notion that antisense ODNs are primarily degraded by 3' exonucleases. Introduction of simple 3' tails which incorporate a normal phosphodiester linkage can increase ODN stability by interfering with these enzymes.