The present invention relates to a freeze prevention valve capable of controlling a discharge flow rate according to a temperature. More particularly, the present invention relates to a freeze prevention valve capable of controlling a discharge flow rate according to a temperature, wherein the valve is to prevent freezing of a pipe by allowing a working fluid such as water flowing along various pipes including water pipes, faucets, and water meters to continuously flow without freezing at a temperature below a freezing point, and a shape memory elastic body which is a configuration of the valve can control a flow rate of the working fluid flowing out of the valve by proportionally changing a yield stress by a phase change according to a temperature of the working fluid instead of performing a simple opening/closing operation.