Light front (LF) Hamiltonian for QED in (1 + 1) dimensions is constructed using the boson form of this model with additional Pauli-Villars-type ultraviolet regularization. Perturbation theory, generated by this LF Hamiltonian, is proved to be equivalent to usual covariant chiral perturbation theory. The obtained LF Hamiltonian depends explicitly on chiral condensate parameters which enter in a form of some renormalization of coupling constants. The obtained results can be useful when one attempts to apply LF Hamiltonian approach for (3 + 1)-dimensional models like QCD.