Process for the preparation of an elastomer consisting of a stage of crosslinking and curing, at ambient temperature, of a single-component polyorganosiloxane composition which is stable on storage in the absence of moisture, which does not contain alkyltin-based catalysts which exhibit problems of toxicity and which crosslinks, in the presence of water, to give an elastomer, characterized in that it comprises: - at least one crosslinkable linear polyorganosiloxane exhibiting functionalized ends of alkoxy, oxime, acyl and/or enoxy, preferably alkoxy, type, - at least one filler, and - a catalytically effective amount of at least one catalyst of the polycondensation reaction which is the metal complex or salt A of formula: [Zn(L 1)(L 2)] in which: - the symbols L 1 and L 2 are identical or different and represent a ligand which is a β-dicarbonylato anion or the enolate anion of a β-dicarbonyl compound of formula or an acetylaceto anion derived from a β-ketoester of following formula: R 1 COCHR 2 COR 3 in which - R 1 represents a substituted or unsubstituted and linear or branched C 1 -C 30 hydrocarbon radical, - R 2 is a hydrogen or a substituted or unsubstituted and linear or branched C 1 -C 50 hydrocarbon radial, preferably a hydrogen atom or an alkyl radical exhibiting at most 4 carbon atoms; - R 3 represents a linear, cyclic or branched C 1 -C 30 hydrocarbon radical which is substituted or unsubstituted, a substituted or unsubstituted aromatic or an -OR 4 radical with R 4 representing a substituted or unsubstituted and linear, cyclic or branched C 1 -C 30 hydrocarbon radical, with - R 1 and R 2 being able to be connected to form a ring, - R 2 and R 3 being able to be connected to form a ring, and - with the additional condition that the metal complex or salt A of formula is not the compound zinc diacetylacetonate or Zn(acac) 2. - at least one crosslinkable linear polyorganosiloxane exhibiting functionalized ends of alkoxy, oxime, acyl and/or enoxy, preferably alkoxy, type, - at least one filler, and - a catalytically effective amount of at least one catalyst of the polycondensation reaction which is the metal complex or salt A of formula: [Zn(L 1)(L 2)] in which: - the symbols L 1 and L 2 are identical or different and represent a ligand which is a β-dicarbonylato anion or the enolate anion of a β-dicarbonyl compound of formula or an acetylaceto anion derived from a β-ketoester of following formula: R 1 COCHR 2 COR 3 in which - R 1 represents a substituted or unsubstituted and linear or branched C 1 -C 30 hydrocarbon radical, - R 2 is a hydrogen or a substituted or unsubstituted and linear or branched C 1 -C 50 hydrocarbon radial, preferably a hydrogen atom or an alkyl radical exhibiting at most 4 carbon atoms; - R 3 represents a linear, cyclic or branched C 1 -C 30 hydrocarbon radical which is substituted or unsubstituted, a substituted or unsubstituted aromatic or an -OR 4 radical with R 4 representing a substituted or unsubstituted and linear, cyclic or branched C 1 -C 30 hydrocarbon radical, with - R 1 and R 2 being able to be connected to form a ring, - R 2 and R 3 being able to be connected to form a ring, and - with the additional condition that the metal complex or salt A of formula is not the compound zinc diacetylacetonate or Zn(acac) 2. - the symbols L 1 and L 2 are identical or different and represent a ligand which is a β-dicarbonylato anion or the enolate anion of a β-dicarbonyl compound of formula or an acetylaceto anion derived from a β-ketoester of following formula: R 1 COCHR 2 COR 3 in which - R 1 represents a substituted or unsubstituted and linear or branched C 1 -C 30 hydrocarbon radical, - R 2 is a hydrogen or a substituted or unsubstituted and linear or branched C 1 -C 50 hydrocarbon radial, preferably a hydrogen atom or an alkyl radical exhibiting at most 4 carbon atoms; - R 3 represents a linear, cyclic or branched C 1 -C 30 hydrocarbon radical which is substituted or unsubstituted, a substituted or unsubstituted aromatic or an -OR 4 radical with R 4 representing a substituted or unsubstituted and linear, cyclic or branched C 1 -C 30 hydrocarbon radical, with - R 1 and R 2 being able to be connected to form a ring, - R 2 and R 3 being able to be connected to form a ring, and - with the additional condition that the metal complex or salt A of formula is not the compound zinc diacetylacetonate or Zn(acac) 2. - R 1 represents a substituted or unsubstituted and linear or branched C 1 -C 30 hydrocarbon radical, - R 2 is a hydrogen or a substituted or unsubstituted and linear or branched C 1 -C 50 hydrocarbon radial, preferably a hydrogen atom or an alkyl radical exhibiting at most 4 carbon atoms; - R 3 represents a linear, cyclic or branched C 1 -C 30 hydrocarbon radical which is substituted or unsubstituted, a substituted or unsubstituted aromatic or an -OR 4 radical with R 4 representing a substituted or unsubstituted and linear, cyclic or branched C 1 -C 30 hydrocarbon radical, with - R 1 and R 2 being able to be connected to form a ring, - R 2 and R 3 being able to be connected to form a ring, and - with the additional condition that the metal complex or salt A of formula is not the compound zinc diacetylacetonate or Zn(acac) 2.