The vortex method for gas-particle two-phase flow is applied to simulate a spray jet. Water jets issue from two nozzles into an unbounded quiescent air; their impingement results in the spray, or the two-phase flow, of air and water droplets. The water jet velocity is 17 m/s, and the droplet mean diameter is 72 mu m. Droplet breakup, collision, coalescence, and evaporation are ignored. It is confirmed that the simulated distribution of droplet diameter agrees well with the measured distribution. The simulation also highlights that the air flow induced by the injected droplets takes its maximum velocity at the spray centerline and that the large-scale circulating air flows cause the smaller droplets to disperse more in the lateral direction; these demonstrate the applicability of the present numerical method for spray analyses.