A method for connecting a heat-dissipating body and a heat pipe and the structure thereof are used to improve the efficiency of heat conduction. The structure includes a heat-dissipating body and a heat pipe. The central position of the heat-dissipating body is provided with an accommodating trough for accommodating the heat pipe. A plurality of corresponding slots extends outwardly from the periphery of the trough. The other end of the slot is connected to a through hole. Tools are disposed in the slots to widen the slots and thus the periphery of the trough, so that the inner diameter of the trough is larger than the outer diameter of the heat pipe. After the heat pipe penetrates into the trough, the tools are removed, so that the inner wall surface of the trough abuts tightly against the outer circumferential surface of the heat pipe. Thus, the optimal efficiency of heat conduction between the heat pipe and the heat-dissipating body can be achieved.