Most of the poorly known parameters of the Standard Model cannot be de
termined without reliable calculations in nonperturbative QCD. Lattice
gauge theory provides a first-principles definition of the required f
unctional integrals, and hence offers ways of performing these calcula
tions. This paper reviews the progress in computing hadron spectra and
electroweak matrix elements needed to determine alpha(S), the quark m
asses, and the Cabibbo-Kobayashi-Maskawa matrix.