A 2.4GHz LC-DCO with low frequency drift is presented to support frequency synthesizer under narrow band system like BLE. In the LC-DCO, a comprehensive temperature compensation scheme, which includes a Proportional To Absolute Temperature (PTAT) current bias and the varactor arrays varying linearly with voltage, is proposed to reduces the frequency drift of LC-DCO as a result of temperature fluctuations. By applying the circuit, frequency drift is reduced from 31MHz (without compensation) to 6MHz within the temperature from -40°C to 120 °C. And the results show that no extra in-band noise is added to LC tank. It consumes 860uW from a 0.9V supply in 40nm CMOS process technology.