An air purifier includes a housing providing an air path therein, a photocatalyst module disposed in the air path, and an electrostatic dust collector disposed in the air path. The photocatalyst module includes a UV point light source emitting light along a light path, and a photocatalyst net device including at least one spatially curved member disposed in the light path, and having a configuration defined by a specific contour line of equal intensity of the emitted light. The electrostatic dust collector includes a first electrode device and a second electrode device, which have contrary electrical polarities so as to generate an electric field therebetween, and both of which have graphene on surfaces thereof.