The present invention refers to proteins and bioactive peptides with immunomodulating and antiviral activity. Present peptide complexes have three-dimensional structure and are described by the following structural formula: where: X 1 is absent or contains not less than 1 amino acid; R1 and R2 - peptide chains, containing amino acid residues, His or Cys, interactable with transition metal ions, with R1 containing up to 5 amino acid residues or absent; R2 contains up to 3 amino acid residues or absent. Histidine-rich peptide complexes, primarily alloferon family peptides with Zn ions, will make it possible to create drugs with targeted mechanism of action, and design them with regard to understanding of drug target structure.