A face-contour-compliable eyeshade includes a hollow shade member in which a flexible unit is arranged. The flexible unit has predetermined resiliency, such as being made of metals, plastics, rubbers, and other flexible and bendable materials, for flexibly bending and shape setting, and has a shape corresponding to a portion around the user's eyes and is further provided with a plurality of bosses and a vibration unit that is attached thereto at a predetermined location, whereby the shade member is shape adjustable in order to comply with the user's face contour for tightly attaching to and engaging the portion around the eyes so that the vibration unit can make the plurality of bosses to vibrate for effecting acupressure and massage on acupuncture points around the eyes and the shade member is foldable for easy carrying.