A touch assembly and a touch display device are provided. The touch assembly includes a touch layer, the touch layer includes a plurality of touch units, and each of the touch units includes a first electrode disposed along a first direction and a second electrode disposed along a second direction. The first electrode is electrically insulated from the second electrode; wherein near an intersection of the first electrode and the second electrode, the first electrode includes at least one recessed portion, and the second electrode includes at least one protrusion mating with the at least one recessed portion.