Lysine dendrimers could be used in many biomedical applications. For example these dendrimers could be used for delivery of short regulatory peptides consisting of several aminoacid residues. We investigated earlier interactions between lysine dendrigraft of 2nd generation and molecules of KED peptide. In present paper we study interaction of lysine dendrimer and molecules of KED peptide. The system containing one dendrimer of 2nd generation and 8 molecules of KED in water with explicit account of counterions was studied by computer simulation. The method of molecular dynamics was used for this goal. We obtained that formation of complex consisting of the dendrimer and all peptide molecules occurs during initial time (t < 40 ns) of simulation. The size, anisotropy of shape and radial density profile of stable complex (after t > 40ns) were studied also. We have shown that formation of complex occurs due to electrostatic interaction between oppositely charged dendrimer. At the same time other interactions, for example hydrogen bonds, also give their contribution to this process. Stable dendrimer-peptide complex has size close to 1,5nm and small shape anisotropy. Density of dendrimer atoms is highest in the centre of complex while density of peptides atoms has maximum at radial distance r=1nm. It total we have shown that lysine dendrimers is suitable carrier for molecules of KED peptide.