  A new method based on the Monte-Carlo calculation on the lattice is proposed
to study the Casimir effect in the noncompact lattice QED. We have studied the
standard Casimir problem with two parallel plane surfaces (mirrors) and oblique
boundary conditions on those as a test of our method. Physically, this boundary
conditions may appear in the problem of modelling of the thin material films
interaction and are generated by additional Chern-Simons boundary term. This
approach for the boundary condition generation is very suitable for the lattice
formulation of the Casimir problem due to gauge invariance.
