We propose a refractometric sensor based on micro/nanofiber Bragg grating (MNFBG). The refractive index (RI) sensing performance dependence on the fiber radius and Bragg grating period of the sensor, as well as the temperature cross-sensitive effect, is investigated theoretically. The simulation results demonstrate that 400 nm-radius MNFBG has a linear response to RI ranging from 1.3 to 1.39 with a sensitivity as high as 992.7 nm/RIU and half temperature cross-sensitivity of normal FBG. A maximum sensitivity of up to 1200 nm/RIU and an outstanding RI resolution of 8.3 × 10 -6 can be achieved. MNFBG has high potential in various types of optical fiber sensor applications.