A circular knitting machine includes sinkers and selector jacks corresponding thereto that are provided as separate components. The selector jacks are arranged radially outside the sinkers, and are provided with selector butts such that the selector butts of circumferentially adjacent selector jacks are arranged at different radial positions. An actuator that acts on the selector butts is arranged radially outside the cylinder. The circular knitting machine prevents a failure of sinker selection, while increasing a rotation speed of a cylinder holding knitting needles.