A radiator structure includes a radiator frame, a radiator and a plurality of elastic latch members. The radiator frame is mounted onto a main board corresponding to an electronic element, and has a plurality of coupling sections and an opening corresponding to the electronic element and the surface of the electronic element exceeds its peripheral edges. The radiator is mounted on the radiator frame in contact with the surface of the electronic element, and has a plurality of latch sections corresponding to the coupling sections. The elastic latch member coupled on the latch section is bent to form a force applying section, a latch arm and a swinging arm. After the force applying section receives a force, the swinging arm coupled on the latch section is turned to enable the latch arm to latch on the coupling section thereby to anchor the radiator on the radiator frame to disperse heat.