Blue compact dwarf galaxies (BCDs) have an interesting feature in their cen
tral region where stars are actively forming. In this paper, we show that s
hock waves produced by the starbursts there are able to trigger self-gravit
ating interstellar clouds in extended envelopes, which are often observed i
n typical BCDs. The criterion adopted for the formation of interstellar clo
uds is very simple, that is, rho > 2 Gamma<(<rho>)over bar>/3. Here, rho is
the gas density of the shocked layer, <(<rho>)over bar> is a mean density
including the dark matter, and r is a numerical factor between 0.5 and 1.0,
depending on the mass distribution of the galaxy. Hence, we suggest that t
he infalling of the clouds onto the central regions causes subsequent starb
ursts after similar to 0.1 Gyr of the event, and that the episodic starburs
ts continue during sub-Gyr.