A cosmetic or pharmaceutical composition includes a peptide parathyroid hormone fragment, derivatives thereof, salts thereof, and combinations thereof, where the peptide fragment conforms to the structure R1-NH-AA-R2 where R1 is selected from the group consisting of &mdashH, a linear or branched, saturated or unsaturated acyl group having from 1 to 24 carbon atoms optionally functionalized with an &mdashOH, &mdashSH, &mdashCOOH or &mdashCONH2 group, or a sterol group which is bonded by a functional group with the peptide where R2 is &mdashOH, &mdashOH functionalized by a linear or branched, saturated or unsaturated alkyl group having from 1 to 24 carbon atoms, or a sterol group and where AA corresponds completely or partially to the sequence of amino acids according to SEQ ID No. 1 corresponding to the PTH (28 to 34) region.