[en] The results of an investigation of the finite self-consistent field theory of elementary matter applied earlier to the calculation of the Lamb shift in hydrogen, now applied to the problem of the Lamb shift in the low lying states of helium are presented. The covariant nonlinear field equations of this theory for helium are constructed from the Lagrangian formalism. In the linear approximation, the Hamiltonian associated with the theory for helium atom is set up. It is equivalent to the Breit Hamiltonian plus two extra terms. This generalization is a direct consequence of two-component spinor formalism of electromagnetism that is contained in this field theory. Thus, the energy spectrum predicted for the helium atom is the spectrum predicted by the Breit Hamiltonian, shifted by amounts in the different states due to the effects of these extra terms. The latter can be associated with the corrections to the helium spectrum that are conventionally attributed to the Lamb shift. The level shift for the ground state and first excited states is calculated using the Foldy-Wouthuysen transformation, with the generalization of Charplvy for the two-electron atom. The results are found to be in close agreement with the experimental values for the energy shifts not predicted by the Dirac theory, and with the theoretical values predicted by quantum electrodynamics. (U.S.)