An antimicrobial composition comprising an antimicrobially effective amount of a combination of: A) a monoglyceride of lauric acid, a monoglyceride of monomyristic acid or a mixture of these monoglycerides, and B) at least one chemical substance selected from the following groups: i) local anesthetics of the amide type; ii) carbamide, iii) antibacterial substances in the form of steroid antibiotics, imidazole derivatives or nitroimidazole derivatives, and iv) diols with 3-6 carbon atoms, and C) optionally, a conventional physiologically acceptable carrier and/or physiologically acceptable additives. A process for the preparation of this composition by heating (A) to the transition temperature of the lipid, adding (B), and optionally (C), and cooling the mixture to form a solid lipid crystal composition. Use of the composition for the preparation of a dermatological preparation for combatting bacteria and fungi or as a preservative additive in a cosmetic product, a food product, or a medical product.