A hedgehog conjugate which is characterized in that it contains: a) a polypeptide composed of 10 to 30 hydrophobic amino acids and/or amino acids which form transmembrane helices and are positively charged, b) 1 to 4 aliphatic, saturated or unsaturated hydrocarbon residues with a chain length of 10 to 24 C atoms and with a hydrophobic action or c) a hydrophobic thio compound covalently bound to a hedgehog protein and which has a several-fold increased activity and is suitable as a pharmaceutical agent.