A glare-free light emitting diode (LED) lamp module includes a heat sink, an LED light source and an LED cover. Multiple rows of threads are integrally formed on a circumferential outer surface of the heat sink for the purposes of mounting and heat dissipation. In one embodiment, a mounting portion is provided on and integrally formed with the heat sink. The LED light source is mounted on the mounting portion. The LED cover is attached to the mounting portion. In another embodiment, a mounting hole is defined through the heat sink for receiving and mounting an LED lamp core and an LED lamp socket therein. The LED cover is attached to the LED lamp core. The LED lamp module can be used to replace the bulb of an incandescent lamp, while the other parts of the incandescent lamp can be retained for continuing use.