A head lamp apparatus may include: a light source unit including first and second light sources; a lens separated from the light source unit; a first optic rod having a first light receiving surface, and emitting light received from the first light source toward the lens through a first light emitting surface; and a second optic rod having a second light receiving surface, and emitting light received from the second light source toward the lens through a second light emitting surface. At least one of the first and second light emitting surfaces may be positioned on a Petzval surface of the lens.