The invention relates to a flexible multi-frequency antenna based on a liquid crystal polymer substrate. The antenna comprises the substrate, an antenna body and a grounding plate; the substrate is made of a flexible material; the antenna body is a circular radiation patch located on the front surface of the substrate; two U-shaped grooves are formed in the antenna body; a feeder line is arrangedon one side of the antenna body; and the grounding plate is positioned on the back surface of the substrate. Compared with the prior art, the antenna adopts an LCP material, and has the advantages oflow dielectric loss, low hygroscopicity, high temperature resistance, chemical corrosion resistance, small thermal expansion coefficient, small thickness and the like; and the antenna is the circularradiation patch, the improved circular grounding plate is adopted, and the two U-shaped grooves are added in the round patch, so that a three-frequency working characteristic can be realized.