A directive color filter and a naked-eye 3D display apparatus are provided. The directive color filter includes a color filter and a directive functional structure layer. The color filter includes multiple light filtering units, and each light filtering unit includes at least three light filtering sub-units with different colors. The directive functional structure layer includes multiple structure units, and each structure unit and one light filtering unit are arranged correspondingly. Each structure unit includes at least three structure sub-units. Each structure sub-unit and one light filtering sub-unit are arranged correspondingly. Each structure sub-unit includes multiple nano diffraction gratings.