The novel fixed-site-carrier (FSC) membranes were prepared by coating carbon nanotubes (CNTs) reinforced polyvinylamine (PVAm)/polyvinylalcohol (PVA) selective layer on top of ultrafiltration polysulfone support. Small pilot-scale modules with membrane area of 110-330cm2 were tested with high pressure permeation rig. The prepared hybrid FSC membranes show high CO2 permeance of 0.084~0.218 m3 (STP) / (m2.h.bar) with CO2/ CH4 selectivity of 17.9-34.7 at different feed pressures up to 40 bar for a 10% CO2 feed gas. Operating parameters of feed pressure, flow rate and CO2 concentration were found to significantly influence membrane performance. HYSYS simulation integrated with ChemBrane and cost estimation was conducted to evaluate techno-economic feasibility of a membrane process for natural gas sweetening. Simulation results indicated that the developed FSC membranes could be a promising candidate for CO2 removal from low CO2 concentration (10%) natural gases with a low natural gas sweetening cost of 5.73E-3 $ / Nm3 sweet NG produced.