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We compute non-perturbatively the average up-down and strange quark massesfrom the large momentum (short-distance) behaviour of the quark propagator inthe Landau gauge. This method, which has never been applied so far, does notrequire the explicit calculation of the quark mass renormalization constant.Calculations were performed in the quenched approximation, by usingO(a)-improved Wilson fermions. The main results of this study areml^RI(2GeV)=5.8(6)MeV and ms^RI(2GeV)=136(11)MeV. Using the relations betweendifferent schemes, obtained from the available four-loop anomalous dimensions,we also find ml^RGI=7.6(8)MeV and ms^RGI=177(14)MeV, and the MSbar-masses,ml^MS(2GeV)=4.8(5)MeV and ms^MS(2GeV)=111(9)MeV.Comment: 19 pages, 2 references added, version to appear in Phys. Rev.

Light quark masses from lattice quark propagators at large momenta