Stripe nonuniformity is a very typical fixed pattern noise in line infrared focal plane arrays (IR-FPA) and uncooled staring IR-FPA. Its origination was analyzed. A stripe nonuniformity correction algorithm based on brightness constancy assumption and registration was proposed. Brightness mean-square error function was obtained according to adjacent frames. Nonuniformity correction parameters could be derived through the unique global optimum by minimizing the function. Experimental results indicate that the proposed algorithm could achieve a great convergence in several frames with low computational complexity and enhance the effective of stripe nonuniformity correction.