A cylinder and dial knitting machine includes a knitting gap, at least one feeder for feeding two yarns into the knitting gap, a plurality of upper needles, a plurality of lower needles, and a selector. The two yarns are interlaced at a narrowing point in the knitting gap. Each of the lower needles is controlled by the selector to have two narrowing states. Each of the lower needles has a hooking point in each of the two narrowing states. Two hooking points have different positions at the knitting gap, and the two hooking points have different distances to the narrowing point. Each of the lower needles is hooked at the two yarns at one of the two hooking points. Each of the plurality of lower needle determines the looping process is standard plating or interchanged plating in accordance with the relative positions of the two yarns.