The invention relates to an applying device and an applying method for a transverse rubber band-type elastic waist of a paper diaper, which simplify the fabrication link of an elastic material, ensure that the fabricated elastic material has a good elasticity and a low cost and increase the on-line fabrication efficiency. The applying device comprises a rubber band unreeling mechanism, a non-woven fabric wrapping mechanism, a rubber band adhesive applying gun, a material traction component, a cutter component, a bottom cutter and steering wheel device, an elastic waist adhesive gun, a negative pressure adsorption wheel device and a negative pressure belt conveying component, wherein the rubber band unreeling mechanism is a first working position behind which the rubber band adhesive applying gun, the non-woven fabric wrapping mechanism, the material traction component, the bottom cutter and steering wheel device, the cutter component, the elastic waist adhesive gun, the negative pressure adsorption wheel device and the negative pressure belt conveying component are arranged in sequence. The invention has the advantages that: (1), the fabrication link of the elastic material is simple; (2), the fabricated elastic material has a good elasticity and a low cost; (3), the on-line fabrication efficiency is high; (4), the structure is reasonable and the operation is reliable with less failure; and (5), different sizes of products are fabricated.