A snap coupling cooling fan module is adopted for use on a computer system to provide the heat dissipation apparatus required by the computer system. The cooling fan module includes a fan lid, which has one side pivotally engaged with a frame and another side latched on a board extending from the frame by means of a latch hook so that a space is formed to house the fans. Matching anchor stubs and latch stubs are formed to clamp and anchor the fans without screws. Installation and disassembly may thus be done faster to save assembly and repair costs.