Abstract: A method for producing intarsia designs with a circular knitting machine, which consists in correlating, for each row of knitting of the design to be produced, sets of needles, which are meant to reduce the regions (2,3,4,5) of the design in different colors or with different threads, with respective feeds or drops of the machine that dispense the corresponding threads, and in moving so as to knit the needles of each set of needles at the corresponding feed or drop by actuating the needle cylinder with an alternating rotary motion about its own axis, with an extent of oscillation that is sufficient to produce the transit of all the needles moved so as to knit of each set of needles at the corresponding feed, forming knitting both in the forward rotation and in the return rotation of the needle cylinder.