A heat dissipation structure with heat pipes arranged in two spaced and partially overlapped layers is disclosed to include a radiation fin set, a heat-dissipation spacer placed on the radiation fin set and defining opposing first surface and second surface, a first heat dissipation layer including multiple first heat pipes with respective first segments thereof placed on the first surface of the heat-dissipation spacer, and a second heat dissipation layer including multiple second heat pipes with respective first segments thereof placed on the second surface of the heat-dissipation spacer. At least a part of the first segment of at least one first heat pipe of the first heat dissipation layer is disposed overlapped on at least a part of the first segment of at least one second heat pipe of the second heat dissipation layer in a parallel manner.