To solve the measurement problems of fiber-optic strain sensors caused by temperature sensitivity， a hybrid temperature-strain dual-parameter based on fiber Bragg grating and multimode interference of hollow core fiber was proposed. The sensor is composed of a hollow core fiber fused between two single mode fibers， and the inner diameter of the hollow core fiber is smaller than the core of the single mode fibers， besides， on the core of one single mode fiber， near the fiber end， a fiber Bragg grating is pre-written. The hollow core fiber has a length of centimeters， in which， the optical wave is propagating in a multimode form. Combining the different responsitivities of the hollow core fiber and fiber Bragg grating to the temperature and the strain， the two parameters can be simultaneously demodulated by solving of the dual-parameter coupling matrix， and the problem of temperature-strain cross sensitivity of a single fiber Bragg grating or hollow core fiber sensor can be effectively solved. A hybrid fiber Bragg grating- hollow core fiber sensor was fabricated by using of a fiber Bragg grating with a center wavelength of 1 550.172 nm and a hollow fiber of 2.5 cm long and inner diameter of 5 μm. The experiment on the strain and temperature measurement shows temperature sensitivities of 10.530 6 pm/℃ and 1.802 1 pm/℃， strain sensitivities of 0.720 7 pm/με and 1.243 2 pm/με from the hollow core fiber and fiber Bragg grating respectively.