Flexible solar cells have been considered as a promising photovoltaic (PV) technology due to their intrinsic advantages such as lightweight and bendability, which make them very convenient for transportation, installation, and integration with architectures and wearable electricity‐generating devices. As a novel PV technology being compatible with roll‐to‐roll fabrication, flexible perovskite solar cells (FPSCs) have achieved a great progress within the past few years, partially due to the superior photoelectronic properties of the halide perovskite absorber and the easy fabrication of the device. As a result, the champion power conversion efficiency of the FPSCs has exceeded 18% recently. In this review, the recent developments of FPSCs are summarized and discussed in the following four aspects: perovskite absorbers, flexible substrates, transparent conductive electrodes, and carrier transport layers, which are the main components for a FPSC device. The flexibility, stability, and other properties are also discussed in terms of the specialized FPSC devices. Finally, a rough prediction for the future development of FPSCs is provided at the end of this review.