A neutron-production target system, composed of targets, moderators, reflectors, and shielding, has been conceptually designed for the future MW-class spallation neutron source based on a high-intensity proton accelerator at KOMAC. For targetry, we tentatively adopted a fixed-metal target concept; tantalum-clad tungsten plates in a water-cooled target shroud made of stainless steel. In the thermal analysis and stress calculations using ANSYS, the von Mises stress was found to exceed the yield stress of SS316L at the edges of the structure for a 500-kW proton beam on target. Relatively high stress at edges seems to be a stress concentration that could be reduced by minor design modifications. Preliminary calculation results for a conservative design of target shielding show that radiation dose after the outermost shielding could be lower than 10 upmuSv/h in a 500-kW operation condition, implying that the design could be optimized to reduce construction costs without loss of shielding performance.