The utility model relates to a carrier and a driving and braking device of the carrier. According to the technical scheme, the driving and braking device of the carrier comprises a wheel axle, a handle and a drive wheel arranged on the wheel axle. A toothed ring is fixedly arranged on the drive wheel, teeth are arranged on the inner wall of the toothed ring, and a brake shoe is arranged on the wheel axle and comprises a toothed piece capable of being meshed with the toothed ring or separated from the toothed ring. The driving and braking device further comprises a pressing rod, wherein the pressing rod is in linkage with the handle and the brake shoe, and when the toothed piece is meshed with the toothed ring, the pressing rod can ensure that the handle rotates and accordingly the drive wheel rotates. The toothed ring and the toothed piece are meshed to achieve braking, the carrier can be driven by the rotating motion of the handle to move when the toothed ring is meshed with the toothed piece because the pressing rod is meshed with the handle and the toothed ring is meshed with the toothed piece, and therefore the carrier can move on unsmooth road surfaces in a labor-saving mode, and the carrier and the driving and braking device of the carrier are simple in structure and easy to implement.