Recent advances in the study of a fluidized-bed nuclear reactor’s stability, due to short and long time transients, are discussed. The point-kinetic model, which considers flux variation in the axial direction, is applied to study short time transients, and the theory of bifurcation is used for long time transients. Numerical results are presented for both transients. The preliminary results indicate that this concept of a nuclear reactor has a behavior similar to that of a conventional reactor regarding its dynamic stability.