A compact dual-parameter fiber sensor based on Fabry-Perot interference(FPI) and fiber Bragg grating (FBG) is proposed, and simultaneous measurement of temperature and strain is realized. A section of end-face-etched multimode fiber (MMF) and a small section of photosensitive fiber (PSF) are fused to form FPI. The flat end face of PSF acts as a reflector of FPI, and FBG is written in PSF. The measured strain sensitivities of FPI and FBG are 8.63 pm/με and 1.11 pm/με, and the temperature sensitivities of them are -1.60 pm/°C and 9.75 pm/°C, respectively. As FBG and FPI have different sensitivities to strain and temperature, they can be utilized together for simultaneous measurement of dual parameters. Experiment results show that the maximal errors are respectively 6.72 με and 0.98 °C for strain and temperature when they are measured simultaneous.