An EUV lithography apparatus may include a light source, an EUV mask and a carbon-based optical filter. The light source may generate an EUV light. The EUV mask may be configured to apply the EUV light to a photoresist film on a substrate. The carbon-based optical filter may filter a light having an OoB wavelength in the EUV light. Thus, the EUV light may not include the light having the OoB wavelength to decrease an error of a photoresist pattern formed using the EUV light.