  Magnetic moment and radius of the nucleon are calculated in a nonlocal
extension of the chiral linear \sigma-model. Properties of the nonlocal model
under the vector and axial transformations are considered. The conserved
electromagnetic and vector currents, and partially conserved axial vector
current are obtained. In the calculation of the nucleon electromagnetic vertex
the \pi- and \sigma-loop diagrams are included. Contribution from vector mesons
is added in the vector meson dominance model with a gauge-invariant
photon-meson coupling. The nonlocality parameter associated with the \pi N
interaction is fixed from the experimental magnetic moment of the neutron.
Other parameters (nonlocality parameter for the \sigma N interaction and the
mass of the \sigma-meson) are constrained by the magnetic moment of the proton.
The calculated electric and magnetic mean-square radii of the proton and
neutron are in satisfactory agreement with experiment.
