Résumé : The spectra of prompt electrons and muons from the semi-leptonic decays of heavy hadrons produced in Z0 decays have been used to measure the coupling of the Z0 to b quarks weighted by the B hadrons mean semi-leptonic branching fraction, giving a value: {Mathematical expression}. The data has also been used to measure the value of the fragmentation parameter, defined in the context of the LUND PS Model, version 7.2, giving: {Mathematical expression}. The corresponding value of the mean fraction of the beam energy taken by a B hadron in the fragmentation of a b quark is: {Mathematical expression}. If the values of {Mathematical expression} and ΓH are taken from the Standard Model, the following value is obtained for the mean semi-leptonic braching fraction of B hadrons: BRslb=(10.1±0.7)%. Taking the value of {Mathematical expression} from an independent analysis of DELPHI data based on the use of the boosted sphericity product, a value: BRslb=(10.1±1.3)% is obtained. © 1992 Springer-Verlag.