A process for the preparation of silylated polyurethane polymer composition containing a silylated polyurethane polymer (i) from the reaction of polyol (ii) and/or hydroxyl-terminated polyurethane (iii) with isocyanatosilane silylating agent (iv), or the reaction of isocyanate-terminated polyurethane (v) with amino-functional silane silylating agent (vi) and/or mercapto-functional silane silylating agent (vii), the process comprising (a) employing at least one non-tin urethane-forming reaction catalyst (viii) for the preparation of hydroxyl-terminated polyurethane (iii) from the reaction of a molar excess of hydroxyl equivalents of polyol (ii) with respect to the isocyanate equivalents of a polyisocyanate, isocyanate-terminated polyurethane (v) from the reaction of a molar excess of isocyanate equivalents of polyisocyanate with respect to the hydroxyl equivalents of the polyol (ii) and/or silylated polyurethane polymer (i), urethane-forming reaction catalyst (viii) being selected from the group consisting of titanium bis(ethylacetoacetato)diisopropoxy, tetraisopropyl titanate, tetrabutyl titanate and titanium complexes of butyl phosphate, ethyl alcohol and isopropyl alcohol, bis(cyclopentadienyl)zirconium dichloride, cyclopentadienylzirconium trichloride, zirconium tetra-acetylacetonate, zirconium tetra-acrylate, zirconium tetra-butoxide, zirconium tetra-carboxyethylacrylate, zirconium tetra-ethoxide and zirconium tetra-propoxide, and cyclopentadienyl; and (b) adding at least one color stabilizer in the amount of 0.01 to 3 percent by weight per one hundred parts of polyol (ii) used in the preparation of the silylated polyurethane polymer composition and selected from the group consisting of triphenyl phosphite, diphenyl-alkyl phosphites, phenyl-dialkyl phosphites, tris(nonylphenyl) phosphite, trilauryl phosphite, trioctadecyl phosphite, distearyl-pentaerythritol diphosphite, tris(2,4-di-tert-butylphenyl) phosphite, diisodecyl pentaerythritol diphosphite, bis(2,4-di-tert-butylphenyl)-pentaerythritol diphosphite, bis(2,4-di-cumylphenyl)-pentaerythritol diphosphite, bis(2,6-di-tert-butyl-4-methylphenyl)-pentaerythritol diphosphite, diisodecyloxypentaerythritol diphosphite, bis(2,4-di-tert-butyl-6-methylphenyl)pentaerythritol diphosphite, bis(2,4,6-tris(tert-butylphenyl)pentaerythritol diphosphite, tristearyl sorbitol triphosphite, bis(2,4-di-tert-butyl-6-methylphenyl)-methyl phosphite, bis(2,4-di-tert-butyl-6-methylphenyl)-ethyl phosphite, 2,2',2"-nitrilo-[triethyltris(3,3',5,5'-tetra-tert-butyl-1,1'-biph- enyl-2,2'-diyl)phosphite], 2-ethylhexyl(3,3',5,5'-tetra-tert-butyl-1,1'-biphenyl-2,2'-diyl)phosphite, trinonylphenol phosphite, phenyl diisodecyl phosphite, diphenyl isodecyl phosphite, diphenyl isooctyl phosphate, tetraphenyl dipropyleneglycol diphosphite, poly(dipropyleneglycol) phenyl phosphite, alkyl (C 12 -C 15) bisphenol A phosphite, alkyl (C 10) bisphenol A phosphite, triisodecyl phosphite, tris (tridecyl) phosphite, and tris (dipropylene glycol) phosphite. (a) employing at least one non-tin urethane-forming reaction catalyst (viii) for the preparation of hydroxyl-terminated polyurethane (iii) from the reaction of a molar excess of hydroxyl equivalents of polyol (ii) with respect to the isocyanate equivalents of a polyisocyanate, isocyanate-terminated polyurethane (v) from the reaction of a molar excess of isocyanate equivalents of polyisocyanate with respect to the hydroxyl equivalents of the polyol (ii) and/or silylated polyurethane polymer (i), urethane-forming reaction catalyst (viii) being selected from the group consisting of titanium bis(ethylacetoacetato)diisopropoxy, tetraisopropyl titanate, tetrabutyl titanate and titanium complexes of butyl phosphate, ethyl alcohol and isopropyl alcohol, bis(cyclopentadienyl)zirconium dichloride, cyclopentadienylzirconium trichloride, zirconium tetra-acetylacetonate, zirconium tetra-acrylate, zirconium tetra-butoxide, zirconium tetra-carboxyethylacrylate, zirconium tetra-ethoxide and zirconium tetra-propoxide, and cyclopentadienyl; and (b) adding at least one color stabilizer in the amount of 0.01 to 3 percent by weight per one hundred parts of polyol (ii) used in the preparation of the silylated polyurethane polymer composition and selected from the group consisting of triphenyl phosphite, diphenyl-alkyl phosphites, phenyl-dialkyl phosphites, tris(nonylphenyl) phosphite, trilauryl phosphite, trioctadecyl phosphite, distearyl-pentaerythritol diphosphite, tris(2,4-di-tert-butylphenyl) phosphite, diisodecyl pentaerythritol diphosphite, bis(2,4-di-tert-butylphenyl)-pentaerythritol diphosphite, bis(2,4-di-cumylphenyl)-pentaerythritol diphosphite, bis(2,6-di-tert-butyl-4-methylphenyl)-pentaerythritol diphosphite, diisodecyloxypentaerythritol diphosphite, bis(2,4-di-tert-butyl-6-methylphenyl)pentaerythritol diphosphite, bis(2,4,6-tris(tert-butylphenyl)pentaerythritol diphosphite, tristearyl sorbitol triphosphite, bis(2,4-di-tert-butyl-6-methylphenyl)-methyl phosphite, bis(2,4-di-tert-butyl-6-methylphenyl)-ethyl phosphite, 2,2',2"-nitrilo-[triethyltris(3,3',5,5'-tetra-tert-butyl-1,1'-biph- enyl-2,2'-diyl)phosphite], 2-ethylhexyl(3,3',5,5'-tetra-tert-butyl-1,1'-biphenyl-2,2'-diyl)phosphite, trinonylphenol phosphite, phenyl diisodecyl phosphite, diphenyl isodecyl phosphite, diphenyl isooctyl phosphate, tetraphenyl dipropyleneglycol diphosphite, poly(dipropyleneglycol) phenyl phosphite, alkyl (C 12 -C 15) bisphenol A phosphite, alkyl (C 10) bisphenol A phosphite, triisodecyl phosphite, tris (tridecyl) phosphite, and tris (dipropylene glycol) phosphite.