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Carbon nanotube is the new material which has ability to replace Si in the future. CNT has remarkable unique properties that make carbon nanotube a promising material in the future. Carbon nanotube field effect transistor is one of the main application of CNTs. Carbon nanotube Field Effect Transistor will play important role in designing of sequential and combinational circuits which are the base of digital computers. Carbon Nanotube Field Effect Transistors have been considered as accompaniment to , future electronic circuit due to the larger current carrier mobility in CNTs compared to bulk silicon. In this research paper, simulation of Low Pass Filter have done at 45 nm technology using hspice. The simulation result of proposed Carbon Nanotube Field Effect Transistor based Low Pass Filter show that the frequency response of Low Pass Filters are working satisfactory. It has applications in the low pass circuits. In electronics, these filters are widely used in many applications. Moreover, it is clear from the Phase response of Carbon Nanotube Field Effect Transistor based Low Pass Filter that it is stable Filter. So, we can use it in powerful conditions where stability is main concern.