We show that a nonequilibrium first-order phase transition can be induced b
y additive noise. As a model system to study this phenomenon, we consider a
nonlinear lattice of overdamped oscillators with both additive and multipl
icative noise terms. Predictions from mean field theory are successfully co
nfirmed by numerical simulations. A physical explanation for the mechanism
of the transition is given. [S1063-651X(99)51912-0].