In many digital applications like digital clock, frequency divider circuit and nano applications etc., designing of low power modulo counters is highly desirable. Designing of such a counters using existing technology i.e., CMOS technology has the limitations in-terms of power consumption, device scaling limitations and fabrications difficulties in nanometre range. This paper proposes the new design technique for modulo counters using the carbon nanotube field effect transistor (CNTFET). Counter performance is analyzed interms of speed and power consumption. This paper also analyses carbon nanotube (CNT) types, how the carbon nanotube is formed, and scaling limitations of the CMOS technology in nanometre range.