  The electromagnetic form factors of the nucleon, in the space-like region,
are determined from three-point function Finite Energy QCD Sum Rules. The QCD
calculation is performed to leading order in perturbation theory in the chiral
limit, and to leading order in the non-perturbative power corrections. The
results for the Dirac form factor, $F_1(q^2)$, are in very good agreement with
data for both the proton and the neutron, in the currently accessible
experimental region of momentum transfers. This is not the case, though, for
the Pauli form factor $F_2(q^2)$, which has a soft $q^2$-dependence
proportional to the quark condensate $<0|\bar{q}q|0>$.
