A method is described for generating blended nucleic acid ligands containing non-nucleic acid functional units. Specifically, a SELEX identified RNA ligand to the integrin gpIIbIIIa is conjugated to the peptide Gly-Arg-Gly-Asp-Thr-Pro (SEQ ID NO:1). This blended RNA ligand inhibits the biological activity of gpIIbIIIa with high specificity. Also described is a single-stranded DNA ligand to elastase coupled to N-methoxysuccinyl-Ala-Ala-Pro-Val-chloromethyl ketone (SEQ ID NO:2). This elastase blended nucleic acid ligand inhibits the biological activity of elastase.