We describe the determination of the strong coupling constant alpha(s)(M-Z(2)) and of the charm-quark mass m(c)(m(c)) in the (MS) over bar -scheme, based on the QCD analysis of the unpolarized World deep-inelastic scattering data. At NNLO the values of alpha(s)(M-Z(2)) = 0.1134 +/- 0.0011(exp) and m(c)(m(c)) = 1.24 +/- 0.03(exp)(-0.02)(+0.03) (scale)(-0.07)(+0.00)(th) are obtained and are compared with other determinations, and also clarifying discrepancies.