  A new model of nonlinear electrodynamics with two parameters is investigated.
We also consider a model with one dimensional parameter. It was shown that the
electric field of a point-like charge is not singular at the origin and there
is the finiteness of the static electric energy of point-like charged particle.
We obtain the canonical and symmetrical Belinfante energy-momentum tensors and
dilatation currents. It is demonstrated that the dilatation symmetry and dual
symmetry are broken in the models suggested. We have calculated the static
electric energy of point-like particles.
