The instant invention refers to an antibacterial peptide with all aminoacids in D configuration, possessing strong antimicrobial activity against Gram-negative and Gram-positive bacteria and Candida strains. The peptide can be in linear form or multimerised on a skeleton of polyacrylamide, of dextrane units or on a skeleton of ethylene glycol units. The peptide is resistant to proteolysis mainly when synthesized in the tetra-branched form where identical peptide sequences are linked together by an appropriate molecular scaffold.