  We discuss the results of a systematic search for multiperiodic pulsations in
Galactic Bulge Delta Scuti and RR Lyrae stars. Six "normal" double-mode
variables pulsating in two radial modes have been identified (5 Delta
Scuti-type and 1 RR Lyrae-type). In 37 RR Lyrae stars secondary periodicities
very close to the primary pulsation frequency have been detected. These
periodicities correspond to nonradial modes of oscillation. They are found in
\~23% of RRab and in ~3% of RRc variables of our sample.
