  Previous studies have shown that noise can induce coherence resonance in some
nonlinear dynamical systems close to a bifurcation of a periodic motion, such
as in excitable systems. We demonstrate that coherence resonance can be
observed in systems close to a {\sl blowout bifurcation}. It is shown that for
dynamical systems with an invariant subspace in which there is a phase-coherent
chaotic attractor, the interplay among the oscillation of local transverse
stability, noise and nonlinearity can lead to coherence resonance phenomenon.
The mechanism of coherence resonance in this type of system is different from
that in previously studied systems.
