Stochastic resonance (SR) is studied in chaotic systems exhibiting on-
off intermittency (OOI). They include a discrete-time system-the logis
tic map with the control parameter varying randomly in time and a cont
inuous-time system-chaotic oscillators just below the synchroniation t
hreshold. As a weak additive or multiplicative periodic forcing is add
ed to such systems, the signal-to-noise ratio (SNR) exhibits a maximum
as a function of the intermittency control parameter. In all cases SN
R shows dependence on the forcing frequency. In the case of additive p
eriodic forcing in continuous-time systems a distinct minimum of SNR i
s observed when the periodic forcing frequency is close to the charact
eristic frequency of chaotic oscillations of the system. Tn the case o
f multiplicative periodic forcing this dependence retains even for ver
y small frequencies; this is a result of a very long characteristic ti
me scale, typical of systems with OOI.