A temperature insensitive curvature sensor of the photonic crystal fiber (PCF) based on core-offset splicing and waist-enlarged fiber taper is presented. The sensor can measure the curvature magnitude and direction. The SMF-PCF-SMF structure is fabricated by drawing a length of PCF fused and spliced between two single-mode fibers (SMF). One end-face of the PCF is core-offset spliced with a SMF, so that the sensor can form an asymmetrical structure on the axial direction. When the sensor bends on two symmetrical directions, the red shift and blue shift phenomena of the transmission spectrum appear obviously. The other end-face of the PCF excessively spliced with another SMF forms a waist-enlarged fiber taper, and finally the Mach-Zehnder interferometer is obtained. Curvature and temperature response characteristics of the sensor are studied experimentally. When the curvature is in the range of 0.12 m-1 to 1.06 m-1, the results show that the spectrum is red-shift in concave bending and blue-shift in convex bending. Besides it has a good linearity. The sensitivities are 11.22 nm/m-1 and -13.62 nm/m-1, respectively. In the range of 20 ℃ to 80 ℃, the temperature sensitivity of the sensor is only 1.63 pm/℃, so it shows a temperature insensitive property. Compared with the traditional fiber sensors, the cross sensitivity of temperature and curvature simultaneous measurement can be avoided in the proposed sensor which also has advantages including easy fabrication, simple structure and high sensitivity. It can be used in such fields as industrial production, building monitoring and aerospace.