This paper presents an investigation of cross focusing of two Gaussian EM beams (of frequencies &ohgr;1and &ohgr;2) propagating in the extraordinary mode in a collisionless magnetoplasma and the excitation of an upper hybrid beam at the difference frequency &Dgr;&ohgr;=&ohgr;1–&ohgr;2. The effect of changing the strength of the static magnetic field on cross‐focusing of the two pump waves is significant; the power of the upper hybrid beam also depends on the magnetic field.