Turbulent motions observed in molecular clouds are thought to reflect
initial conditions associated with cloud formation and may be sustaine
d over the cloud lifetime by mechanical energy sources associated with
star formation. This paper demonstrates that free energy stored in th
e magnetic fields of clouds represents another source of turbulent ene
rgy, which can be released through an instability driven by ambipolar
drift. The instability operates even in cases in which the cloud would
be dynamically stable if the magnetic field were completely frozen to
the gas. The instability has a weak form, to which clouds are general
ly susceptible, and a strong form, which appears if the cloud is withi
n about 30% of critical. In the strong form, the instability grows at
a rate intermediate between the slow rate of ambipolar drift and the m
ore rapid rates associated with dynamical processes. In the weak form
of the instability the growth rate is close to the ambipolar drift rat
e. The instability drives turbulent motions, both compressive and vort
ical, and may accelerate the fragmentation of a molecular cloud into s
ubstructures.