A touch control device and a touch display device are provided. The touch control device comprises a plurality of driving electrodes extending in a first direction and divided into a plurality of driving electrode groups arranged in a third direction, a plurality of sensing electrodes extending in a second direction, a plurality of driving units electrically connected to the plurality of driving electrodes and providing driving signals to the driving electrodes, and a sensing circuit electrically connected to the sensing sub-electrodes and detecting output signals from the sensing sub-electrodes. Each sensing electrode includes a plurality of sensing sub-electrodes, a projection of each sensing sub-electrode on the driving electrodes is not overlapped with each other, and a sum of the projections of the sensing sub-electrodes are overlapped with each driving electrode. At least one driving unit is simultaneously electrically connected to at least one driving electrode in each driving electrode group.