A general method of computing string corrections to the Kahler metric
and Yukawa couplings is developed at the one-loop level for a general
compactification of the heterotic superstring theory. It also provides
a direct determination of the so-called Green-Schwarz term. The matte
r metric has an infrared divergent part which reproduces the field-the
oretical anomalous dimensions, and a moduli-dependent part which gives
rise to threshold corrections in the physical Yukawa couplings. Expli
cit expressions are derived for symmetric orbifold compactifications.