A wheel brake set for a luggage case contains a covering member; a support assembly for supporting the covering member; at least one wheel mounted on one side of the support assembly, and a respective one of the at least one wheel having a plurality of hollowly concave portions defined on one side thereof; a driving assembly including a fixing pin secured on the support assembly for positioning a respective one wheel at an original position. The fixing pin is driven to extend out of the support assembly and to insert into a pushing position of one of the plurality of hollowly concave portions, thus positioning the respective one wheel.