This letter presents a highly sensitive flexible strain sensor based on surface acoustic wave (SAW) working principle. The SAW strain sensor employs the piezoelectric single crystal PMN-PT thick film, which significantly improves the sensitivity of the strain sensor to 1243.49 Hz/ $\mu \varepsilon $ . Meanwhile, the flexible strain sensor fabricated by the chemical and mechanical polishing process can realize a wide strain measurement range from −1000 to $+ 1000\,\,\mu \varepsilon $ . The repeatability of the device is also evaluated under the strain of 0 and $900~\mu \varepsilon $ . The testing results demonstrate that this developed sensor is an excellent candidate for small stain measurement.