The probability of electron tunneling from a bound to a free state in an al
ternating electric and a constant magnetic field is calculated in the quasi
classical approximation. It is shown that the magnetic field reduces the pr
obability of electron tunneling. The application of the external magnetic f
ield perpendicular to the electric field reduces the ionization probability
at high magnetic fields, when cyclotron resonance frequency becomes larger
than reciprocal tunneling time. The increase of electric field frequency t
o values larger than the same reciprocal tunneling time enhances the influe
nce of magnetic field. (C) 1999 Elsevier Science B.V. All rights reserved.