This study explored the effect of tannin‐rich fraction from pomegranate rind (TFPR) on the cooking and texture properties, structure, and digestibility of sweet potato starch noodles (SPSN). The antioxidant activity of SPSN during cooking and storage was also investigated. Results showed that TFPR increased cooking loss, rehydration ratio, swelling index, and broken rate, but decreased the hardness, cohesiveness, springiness, and chewiness of SPSN. Scanning electron microscopy indicated that SPSN containing TFPR was looser and contained more holes with bigger sizes. Fourier transform infrared spectroscopy and X‐ray diffraction demonstrated that TFPR altered the short‐range ordered structure (R1047/1017: 1.76–0.56, R994/1017: 4.95–3.29) through noncovalent interaction and the long‐range ordered structure (crystallinity: 25.57%–19.39%). Moreover, TFPR decreased the rapidly digestible starch (41.01%–29.73%) and increased the resistant starch (18.00%–37.38%), leading to a drop in the digestive rate and GI (78.19–68.87) of SPSN. Boiling, steaming, microwaving, and storage decreased the antioxidant activity of SPSN‐containing TFPR. It demonstrated that TFPR altered the structure and digestibility of SPSN, and the stability of SPSN with TFPR was influenced by cooking methods and storage. These results provide valuable information on producing lower‐GI starchy foods based on pomegranate rinds.