Handle folding mechanism, three-fold handle employing the folding mechanism, and stroller having the same

A handle folding mechanism, a three-fold handle employing the folding mechanism, and a stroller having the same are provided. The folding mechanism includes an intermediate component and a pair of connecting components. The intermediate component includes a tubular casing, a press block, and an unlocking piece. A rear part of the press block passes through a front surface of the casing to extend into the casing, and is movable back and forth. The connecting component includes a tubular housing and an engaging piece. The engaging piece is slidably mounted in the housing. In a locked state, a front end of the engaging piece penetrates into the casing. The unlocking piece has a fixing part, and the fixing part is disposed with a free end extending between a rear end of the press block and the front end of the engaging piece.