Abstract:The way resulting in the lasing without inversion is discussed from the both respects the qualitative analysis and numerical calculation by using the zero-order stationary solution of the density matrix motion equations of the open V-type system.The study shows that:the lasing without inversion can be produced by two destabilization mechanism the pitchfork and Hopf bifurcation;the variations of the loss of laser cavity,unsaturated gain of the lasing transition,atomic exit rate and ratio of the atomic injection rates have obviously effects on the production of the lasing without inversion.