A safety buckle includes an intermediate buckle member, which has two opposite receiving holes and two smoothly arched grooves on the top and bottom sides in each receiving hole, and two connecting buckle members each having a plug insertable into the receiving holes of the intermediate buckle member and raised portions protruded from the top and bottom sides of the plug for engaging the smoothly arched grooves to secure the respective connecting buckle member to the intermediate buckle member for allowing the connecting buckle members to be biased relative to the intermediate buckle member within a predetermined angle. In an alternate form of the safety buckle, the locations of the raised portions and the locations of the smoothly arched grooves are exchanged.