An exemplary method for manufacturing a heat dissipation apparatus includes, firstly, providing a fin assembly including a stack of fins spaced from each other. Each fin defines a through hole therein, and includes a collar formed at an edge of the through hole. Then a heat pipe is provided, and inserted in the through holes of the fins. Next, two opposing punching tools are provided. Each punching tool defines a series of recesses. The subassembly of the heat pipe and fins is positioned between the two punching tools, with the collar of each fin located between two corresponding recesses of the two punching tools. The two punching tools punch the collars of the fins from two opposite sides of the collars. Thereby, the collars shrink inwardly and press the heat pipe to deform until the heat pipe is fittedly mounted in the collars of the fins.