A thermal conducting structure includes a vapor chamber and at least one heat pipe. The vapor chamber has a casing with a through hole formed on a side of the casing, and a chamber defined inside the casing and communicated with the through hole and having a metal mesh covered on an inner wall of the chamber. The heat pipe has a tubular body and an opening formed at an end of the tubular body, and the tubular body is connected to the through hole, and a cavity is defined inside the tubular body. A capillary member is covered onto an inner wall of the cavity. The metal mesh is passed out from the opening to connect the capillary member. The metal mesh is used as a capillary structure, and the vapor chamber and heat pipe are used together to provide a better cooling efficiency.