We obtain the electromagnetic form factors of the nucleon, in the space-like region, using three-point function Finite Energy QCD Sum Rules. The QCD calculation is performed to leading order in perturbation theory in the chiral limit, and also to leading order in the non-perturbative power corrections. For the Dirac form factor, F1 (q2), we get a very good agreement with the data for both the proton and the neutron, in the currently accessible experimental region of momentum transfers. Unfortunately this is not the case, though, for the Pauli form factor F2 (q2), which has a soft q2-dependence proportional to the quark condensate < 0 | over(q, -) q | 0 >. © 2006 Elsevier B.V. All rights reserved.