Peptide-polymer complementary pairs can provide useful tools for isolating, organizing, and separating biomacromolecules. We describe a procedure for selecting a high affinity complementary peptide-polymer nanoparticle (NP) pair using phage display. A hydrogel copolymer nanoparticle containing a statistical distribution of negatively charged and hydrophobic groups was used to select a peptide sequence from a phage displayed library of >1010 peptides. The NP has low nanomolar affinity for the selected cyclic peptide and exhibited low affinity for a panel of diverse proteins and peptide variants. Affinity arises from the complementary physiochemical properties of both NP and peptide as well as the specific peptide sequence. Comparison of linear and cyclic variants of the peptide established that peptide structure also contributes to affinity. These findings offer a general method for identifying polymer-peptide complementary pairs. Significantly, precise polymer sequences (proteins) are not a requirement, a low information statistical copolymer can be used to select for a specific peptide sequence with affinity and selectivity comparable to that of an antibody. The data also provides evidence for the physiochemical and structural contributions to binding. The results confirm the utility of abiotic, statistical, synthetic copolymers as selective, high affinity peptide affinity reagents.