A head lamp for a vehicle is provided to radiate rapidly heat generated from an LED module to the outside of the LED module by modifying a structure thereof. An LED module(10) includes a substrate and a plurality of LEDs arranged on the substrate. A housing(20) includes an open front side in order to receive the LED module. A radiating pin(35) is installed in the inside of the housing and comes in contact with the LED module in order to disperse the heat of the LED module. One end of a heat pipe(40) comes in contact with the LED module. The other end of the heat pipe is exposed to the outside of the housing in order to radiate the heat of the LED module. A heat transmission member(50) is installed at the housing and includes a metal layer and an air layer.