A new type of noised induced phase transitions is proposed. It occurs in noisy systems with dynamical traps. Dynamical traps are regions in the phase space where the regular “forces” are depressed substantially. By way of an example, a simple oscillatory system <InlineEquation ID="Equ1"> <EquationSource Format="TEX">$\{x,v=\dot{x}\}$</EquationSource> </InlineEquation> with...</equationsource></inlineequation>