A tamper-resistant air-permeable container, comprising: a cover, which has a bottom that is provided with a first wall in the form of a loop and perpendicular to the cover, the first wall being adjacent to a peripheral edge of the cover, the first wall having an outward-facing surface; and a box, which includes a receiving space that is in communication with the outside, the box having a top surface that is formed with a second wall perpendicular thereto, the second wall having an inward-facing surface that is provided with a first step part having a height lower than the second wall and a second step part having a height lower than the first step part, the first step part and the second step part forming therebetween a retaining engagement groove, characterized in that the outward-facing surface of the first wall of the cover is formed with a plurality of primary troughs that are spaced from each other, each of the primary troughs including a primary block arranged therebetween, the first wall and each of the primary blocks being each formed with a retaining engagement portion (111, 131) on a lower portion of the outward-facing surface; and the inward-facing surface of the second wall of the box is formed with a plurality of secondary troughs, each of the secondary troughs including a curved section, such that each of the secondary troughs has a curved configuration, wherein when the cover is combined with the box, the retaining engagement portions (111, 131) of the cover are fit into and retained in the retaining engagement groove and each of the primary blocks is set in coupling engagement with the first step part and the second step part, so that each of the primary troughs is set to correspond to each of the secondary troughs to form a passage that is in communication with the receiving space. a cover, which has a bottom that is provided with a first wall in the form of a loop and perpendicular to the cover, the first wall being adjacent to a peripheral edge of the cover, the first wall having an outward-facing surface; and a box, which includes a receiving space that is in communication with the outside, the box having a top surface that is formed with a second wall perpendicular thereto, the second wall having an inward-facing surface that is provided with a first step part having a height lower than the second wall and a second step part having a height lower than the first step part, the first step part and the second step part forming therebetween a retaining engagement groove, characterized in that the outward-facing surface of the first wall of the cover is formed with a plurality of primary troughs that are spaced from each other, each of the primary troughs including a primary block arranged therebetween, the first wall and each of the primary blocks being each formed with a retaining engagement portion (111, 131) on a lower portion of the outward-facing surface; and the inward-facing surface of the second wall of the box is formed with a plurality of secondary troughs, each of the secondary troughs including a curved section, such that each of the secondary troughs has a curved configuration, wherein when the cover is combined with the box, the retaining engagement portions (111, 131) of the cover are fit into and retained in the retaining engagement groove and each of the primary blocks is set in coupling engagement with the first step part and the second step part, so that each of the primary troughs is set to correspond to each of the secondary troughs to form a passage that is in communication with the receiving space.