A dual-functional peptide-PNA (peptide nucleic acid) conjugate consisting of a PNA G3-tract and an RHAU23 peptide is devised to target nucleic acids bearing three tandem guanine tracts (G-tracts). The PNA G3-tract joins the three G-tracts to form a stable bimolecular G-quadruplex (G4) and the resulting G4 is then bound by the RHAU23 moiety to form an extra stable G4-peptide complex. Owing to this synergistic dual structural enforcement, the conjugate accomplished extremely high selectivity and nM to sub-nM affinities towards its targets that are up to 1000 times greater than the small molecule G4 ligands. As a result, the conjugate impacts the tracking activity of motor proteins on DNA with superior selectivity and potency that are rarely seen in other G4-targeting approaches.