A heat sink having heat-dissipating fins capable of increasing heat-dissipating area-includes a heat pipe and the heat-dissipating fins. The heat pipe has a heat-absorbing section and a heat-releasing section. The heat-dissipating fin has a lower plate and an upper plate. The upper plate is bent to be overlapped on the lower plate, thereby forming a heat-dissipating path (b) therebetween. The lower plate and the upper plate are provided with a through-hole respectively in such a manner that these two through-holes correspond to each other. The heat-releasing section of the heat pipe penetrates the through-holes of the heat-dissipating fins successively. In this way, the heat-dissipating area in the same height can be increased, thereby improving the heat-dissipating efficiency of the heat sink.