A mask structure includes a covering body and a pair of elastic bands formed on the opposite sides, for coveting a wear's nose and mouth of the face. The covering body can be a plane sheet or a cup-shaped cover. The mask structure is characterized in that an inner cover of the covering body includes an adhesive layer on the peripheral thereof, and a corresponding paper layer is attached on the adhesive layer, wherein after the paper layer is detached from the adhesive layer, by pressing the covering body, the adhesive layer is adhered to the wear's face so that the covering body is closely and completely covering the wear's nose and mouth for efficiently preventing virus infections.