  A new generalized ModMax model of nonlinear electrodynamics with four
parameters is proposed. The ModMax model and Born--Infeld-type electrodynamics
are particular cases of the present model It is shown that a singularity of the
electric field at the center of point-like charged particles is absent. We
found corrections to Coulomb's law at $r\rightarrow\infty$ and obtain the total
electrostatic and magnetic energies of point-like charges. Free electric and
magnetic charges and their densities are obtained.
