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We consider an interaction of the close-in (with an orbital distance d < 0.3 AU) giant exoplanets ('Hot Jupiters') with the stellar wind magnetic field. The paraboloid magnetospheric model constructed for the 'Hot Jupiters' contains the intrinsic planetary magnetic dipole, the current system of magnetotail, magnetodisk, magnetopause currents, and the magnetic field of stellar wind, partially penetrated into the magnetospheric obstacle. The problem of stellar - planetary interaction includes not only consideration of influences of stellar radiation and plasma flows, but also the reconnection with the stellar wind magnetic field, which becomes especially strong during coronal mass ejections (CMEs).