An anti-press fan structure includes a fan frame and a fan impeller. The fan impeller has a support shaft supporting the fan impeller disposed in the fan frame. The support shaft has a protrusion section protruding from the fan frame to bear and connect with an external unit positioned above the fan impeller so as to keep an axial space between the fan impeller and the external unit. Accordingly, the fan impeller is prevented from being compressed by the external unit and the pressure applied to the fan frame is dispersed.