Flexible photonic devices, which are bendable, foldable, and even stretchable, are not limited to the rigid physical state constraints of traditional optoelectronic devices and thus unique tunable optoelectronic properties could be achieved, which greatly expands the development and practical implementation of traditional optoelectronic devices. Combining with new functional optical materials, novel device integration technologies, and the advantages of photonic devices over electronic devices in material sensing specificity, channel capacity, and resistance to electromagnetic interference, flexible photonic devices show great research and application value in emerging and interdisciplinary fields such as wearable sensing, high-speed optical interconnect, light field manipulation, and optogenetic applications in biology. However, challenges including the fabrication difficulties, mechanical flexibility limitation, and the degree of integration exist in current flexible photonic technologies. This paper briefly reviews the recent progress on flexible photonic materials and devices to address those challenges. And further development and application demonstration for the flexible photonics has also been summarized and discussed.