A flyswatter (10) having an elastically deformable swatting member (16) with a plurality of protrusions (20) formed thereon. The protrusions (20) are spaced apart on the swatting member (16), and have a height somewhat less than the height of the insect. When the swatting member (16) is struck on an object upon which the insect rests, the protrusions (20) contact the object, and the swatting member (16) elastically deforms and bows outwardly and strikes the insect without flattening or squishing the insect.