By means of computer simulation the association process of diphilic macromolecules with strongly attractive head units (stickers) in the vicinity of the critical point of the solvent is studied. The calculations were carried out by means of Monte Carlo simulation with the bond-fluctuation model of polymer modified by us to mimic the hexagonal packing of monomer units. It was found that the critical concentration of micelle formation and average aggregation number depend crucially not only on the attraction between stickers but on the quality and state of solvent. The average aggregation number can demonstrate nonmonotonic behavior with change in temperature.