In this paper, a noise amplifier circuit in the L-band frequency (lGHz-2GHz) has been designed and implemented through the Advanced Design System (ADS) software. In this circuit, the Cascade technique is utilized in order to amplify the signal. In addition, current reuse, in- ductive feedback, and the inductive square pair techniques are exploited to increase the gain in linearity mode, isolate the signal, and match the input and output networks. There are three objectives for designing this circuit, i.e., increasing the gain, improving the signal stability in the Frequency linearity Bandwidth (L), and enhancement in the NF value. The proposed circuit includes four levels of transistors with 0.18μm TSMC CMOS technology. In this paper, the maximum level of gain is 28.209dB. Also, the noise figure, the stability value and the value of the linear are set to 4.172dB, 9dB, and 43.906dBm respectively.