An antenna structure is disclosed, which includes: a microwave substrate; and a first circuit, a second circuit, and a ground circuit disposed coplanarly on the microwave substrate. The first circuit is an open loop structure with a discontinuous portion having a feed point and a ground point, arranged respectively across the discontinuous portion. The second circuit is connected to a connecting point of the first circuit. The ground circuit is connected to the ground point of the first circuit and the second circuit at the connecting point of the ground circuit. Thus, the antenna structure reduces the SAR. In addition, an electronic device having the same is disclosed.