Three-dimensional structure of unsteady vortical flow field has been investigated by numerical analysis on a half-ducted propeller fan. Complicated and unsteady flow phenomena in the fan were captured by Detached Eddy Simulation (DES) based on k-ω two-equation turbulence model. To elucidate the complex vortical flow phenomena, vortex structures were identified by the critical point theory, and limiting streamlines visualized by LIC. Three-dimensional unsteady vortex behaviors correspond to high pressure loss region after blade passage.