We have devised a new LTCC spiral inductor incorporating an air cavity underneath for high Q-factor and high self-resonant frequency (SRF). The air cavity employed under the spiral reduces the shunt capacitance of the inductor, and results in high Q-factor and SRF of the embedded inductors. The optimized spiral inductor with the embedded air cavity shows a maximum Q of 51 and SRF of 9.1 GHz, while conventional spiral inductor has a maximum Q of 43 and SRF of 8 GHz with effective inductance of 2.7 nH.