In this work, a folded cascode operational transconductance amplifier using CNTFET and GNRFET has been designed and simulated using HSPICE software. The structures of FC-OTA are formed using pure CNTFET and its hybrids which involve combination of CNTFET and CMOS both and lastly a structure has been formed using GNRFET. The detailed study reveals that compared to conventional CMOS-based FC-OTA, the performance of CNTFET- based FC-OTAs shows a lot of improvement. An appreciable increase in dc gain, output resistance and CMRR is observed in CNT based FC-OTA as compared to conventional CMOS-based FC-OTA. The phase margin (PM) and gain margin (GM) obtained in CNT- based FC-OTAs shows that they are quite stable. In addition, GNRFET-FC-OTA was also simulated and compared with CNTFET-FC-OTA. On comparison, it showed that CNT-based device showed significant increase in dc gain compared to GNRFET-FC-OTA. The performance of proposed FC-OTAs was further studied by changing CNT diameter, CNT pitch and no of CNTs and it was observed that by using optimized values for these parameters, the performance of proposed FC-OTA can be improved significantly. To sum up, it was observed that folded cascoded technique has significantly increased the gain in CNTFET-based FC-OTAs.