The utility model provides a high antitorque sleeve screwed nipple which includes a coupling and a connecting pipe fitting, wherein the coupling and the connecting pipe fitting are connected through threads. The screwed nipple further includes a set of antitorque structures. Each antitorque structure includes an antitorque unit on the coupling and an antitorque unit on the connecting pipe fitting. The antitorque unit on the coupling includes an internal thread main circular bead, an inner conical surface, and an internal thread auxiliary circular bead; the antitorque unit on the connecting pipe fitting includes an external thread main circular bead, an outer conical surface, and an external thread auxiliary circular bead. The size and the shape of the internal thread main circular bead are matched with those of the external thread main circular bead, and the size and the shape of the internal thread auxiliary circular bead are matched with those of the external thread auxiliary circular bead. The taper and the length of the inner conical surface are as same as those of the outer conical surface. Not only does the high antitorque sleeve screwed nipple have a high torsional property, the torsional capacity of a joint can reach 3-3.5 times of ordinary application programming interface (API) joint, but also the high antitorque sleeve screwed nipple is high in connected intensity, good in gas sealing performance, and suitable for harsh working conditions of sleeves under a rotary cemented downhole.