An LED lamp cooling apparatus (10) includes a substrate (11), a plurality of LEDs (13) electrically connected with the substrate, a heat sink (19) for dissipation of heat generated by the LEDs and a pulsating heat pipe (15) thermally connected with the heat sink. The pulsating heat pipe includes a plurality of heat receiving portions (154) and a plurality of heat radiating portions (155), and contains a working fluid (153) therein. The substrate is attached to the heat receiving portions of the pulsating heat pipe and the heat sink is attached to the heat radiating portions of the pulsating heat pipe. The heat generated by the LEDs is transferred from the heat receiving portions to the heat radiating portions of the pulsating heat pipe through pulsation or oscillation of the working fluid in the pulsating heat pipe.