A touch display apparatus having a fan-out side is provided. The touch display apparatus includes a first substrate, a second substrate, a touch sensing element and a display element. The first and the second substrate have a first surface and a second inner surface, respectively. The second substrate is disposed opposite to the first substrate. The second inner surface faces the first inner surface. The second substrate has a convex part and a concave part on the fan-out side. The second inner surface has a second outer lead bonding region in the convex part. The first outer lead bonding region of the first substrate is unshielded by the second substrate through the concave part. The second outer lead bonding region of the second substrate is unshielded by the first substrate. The touch sensing element and the display element are packaged in between the first and the second substrates.