This paper presents a frequency synthesizer using low voltage active inductor VCO(Voltage Controlled Oscillator). The low voltage active inductor VCO with feedback resistor increases its equivalent inductance and the quality-factor(Q). Under certain conditions, the low voltage active inductor with feedback resistor generates a negative resistance at the input. In this paper, the conditions for negative resistance are obtained by small signal analysis. The designed low voltage active inductor VCO covers a frequency band between 1059MHz and 1223MHz. The measured phase noise at 1.178GHz is -81.8dBc/Hz at 1MHz offset.