Provided are a touch substrate and a touch display substrate. The touch substrate includes: a touch structure, including a sensor pattern and a touch line, the sensor pattern including a plurality of first sensor patterns and a plurality of second sensor patterns, and the touch line includes a plurality of first touch lines and a plurality of second touch lines, each first sensor pattern is connected with at least one of the first touch lines, and each second sensor pattern is connected with at least one of the second touch lines; a first ground line located at a periphery of the touch structure; and at least one second ground line located at a side of the first ground line, wherein the first ground line and the at least one second ground line are connected at a side of the touch structure and are connected with one ground connection line.