  We construct improved QCD sum rules for the nucleon magnetic moments by
implementing direct-instanton contributions to the operator product expansion
of the nucleon correlator in a magnetic background field. The instanton
contributions are found to affect only those sum rules which had previously
been considered unstable. The new sum rules show a high degree of stability and
reproduce the experimental values of the nucleon magnetic moments for values of
the magnetic quark condensate susceptibility which are consistent with other
estimates.
