A mechanical multi-rod disc brake contains: a braking unit including an engagement structure having two bases, two swing arms, two wear-resistant sleeves, and two fixing pistons between which an accommodation space is defined so as to accommodate a stop disc. A respective one wear-resistant sleeve has a respective one fixing piston. A drive unit includes a multi-rod structure, and a respective one rotary shaft is rotatably connected with a respective one driven bolt rotatably connected with a respective one driving member via a respective one connection portion. A respective one joining element has a receiving hole rotatably connected with of a first extension of a first connection stein or a second extension of a second connection stein. Each of the first extension and the second extension has a resilient element, and the first and second extensions are connected with a brake cable via the first and second apertures.