We investigate a simple model corresponding to particles driven in opposite directions and interacting via a repulsive potential. The particles move off-lattice on a periodic strip and are subject to random forces as well. We show that this model—which can be considered as a continuum version of some driven diffusive systems—exhibits a paradoxical, new kind of transition called here “freezing by heating.” One interesting feature of this transition is that a crystallized state with a higher total energy is obtained from a fluid state by increasing the amount of fluctuations.