The microwave ionization of internally chaotic Rydberg atoms is studied ana
lytically and numerically. The internal chaos is induced by magnetic or sta
tic electric fields. This leads to a chaotic enhancement of microwave excit
ation. The dynamical localization theory gives a detailed description of th
e excitation process even in a regime where up to few thousands photons are
required to ionize one atom. Possible laboratory experiments are also disc
ussed.