This paper proposes dual multiobjective quantum-inspired evolutionary algorithm (DMQEA) for a sensor arrangement problem in a 2D environment. DMQEA has a dual stage of dominance check by introducing secondary objectives in addition to primary objectives. In an archive generation process, the secondary objectives are to maximize global evaluation values and crowding distances of the non-dominated solutions in the external global population and the previous archive. The proposed DMQEA is applied to the sensor arrangement problem to allocate the sensors considering three objectives: coverage rate, interference rate of each sensor, and the number of the sensors. The result of the sensor arrangement was successful enough to satisfy user’s preference for the objectives such that the sensors are placed on the proper positions.