Supercritical water gasification technology (SCWGT) of coal for hydrogen and power generation can be integrated to achieve multiple goals of clean, high efficiency, and low carbon. The fluid and non-spherical particle interaction exists widely in energy engineering and is more complex due to the shape factor and the Stefan flow that emits from the particle surface will further affect the mass, momentum, and energy transfer between the particle and the fluid. Works about the drag coefficient and Nusselt number relations for Stefan flow-affected non-spherical particles are rare. Motivated by this fact, a particle-resolved direct numerical simulation study of Stefan flow-affected non-spherical particles in supercritical water is carried out to investigate the flow and heat transfer process. The sphere, ellipsoid, cylinder, cube, and cuboid particles are considered in steady-state regimes corresponding to Reynolds numbers from 10 up to 200. This work analyzes the pressure and friction drag coefficients of the particles and illustrates the flow, velocity, and temperature distribution around the particles. The flow field and temperature distribution of the particles are similar to that of the volume-equivalent sphere, and the thickness of the velocity and temperature boundary layer increases with the presence of the Stefan flow. The drag coefficient decreases with the increase of the average sphericity (Φ_Av) and the sphere, cylinder, and ellipsoid particles in group-A have a similar Nusselt number that is greater than the Nu of the cube and cuboid particles in group-B, and the presence of Stefan flow further reduces the Cd and Nu of particles. In addition to the Reynolds number, particle shape, and Stefan flow both influence particle-fluid interaction: introducing two particle shape descriptors, and the drag coefficient depends primarily on the average sphericity, while the crosswise sphericity influences the Nusselt number and the new fitting formulas are developed for the Cd and the Nu of the Stefan flow-affected non-spherical particle.