A touch panel and a touch display panel are provided. The touch panel includes a base substrate, a first touch sub-electrode, a second touch sub-electrode, and a bridge. The bridge includes a first sub-bridge and a second sub-bridge. The first sub-bridge has a first edge and a second edge, the first edge includes a first linear sub-edge and a second linear sub-edge directly connected to each other, and the second edge includes a third linear sub-edge and a fourth linear sub-edge directly connected to each other. An included angle between the first linear sub-edge and the second linear sub-edge is a first included angle α1, an included angle between the third linear sub-edge and the fourth linear sub-edge is a second included angle α2, and at least one of the first included angle α1 and the second included angle α2 is an obtuse angle.