The present disclosure provides an electrical connection apparatus which includes a receptacle and a plug. The receptacle includes a cage, a heat sink, a thermal interface material layer, and an elastic sheathing member. The heat sink is provided to the cage and has a base portion. The base portion has a lower surface, a first side edge close to the port, and a second side edge spaced apart from the first side edge. The heat sink further has two first convex portions positioned on the lower surface and adjacent to the first side edge and a first concave portion positioned on the lower surface and adjacent to the second side edge. The thermal interface material layer is provided to the lower surface of the base portion. The elastic sheathing member sheathes the heat sink and the cage. The plug includes a second convex portion positioned on an upper surface.