In this paper, a dual band LNA (Low Noise Amplifier) with a LC-tank matching circuit is designed for 912MHz and 2.45GHz RFID reader. The operating frequency is decided by the LC-tank resonance. The simulated results demonstrate that S21 parameter is 11.683dB and 5.748dB at 912MHz and 2.45GHz, respectively, and the S11 are -10.796dB and -21.261dB, the S22 are -7.131dB and -14.877dB at the same frequencies. The measured NF (Noise Figure) is 0.471 and 1.726 at 912MHz and 2.45GHz, respectively.