The arrestees are Salauddin, Murad and Abul.
Salauddin, 35, son of Tukai Miah, was arrested from a brick kiln at Sultanpur village in Feni Sadar upazila in the early hours, said Superintendent of Police of Noakhali Ilias Sharif.
The rest two were arrested from Chatapaiya of Senbagh upazila and Habis Chowdhuribazar of Subarnachar upazila respectively in the evening, he said.
The case has been shifted to the Detective Branch (DB) for investigation, the SP added.
Earlier in the day, seven accused arrested earlier in connection with the case -- Badshah Alam Basu, ex-AL leader Ruhul Amin, Jashim Uddin, Hasan Ali Bhulu, Sohel, Swapan and Bechu -- were placed on a five-day remand over the gang-rape.
Ruhul Amin, AL upazila unit publicity affairs secretary and a former union council member, was expelled from the ruling party on January 5 for his alleged involvement in the gang-rape.
The woman, a mother of four, was gang-raped at Charjubli village in the upazila on December 31 by a gang of 10-12 men allegedly being ordered by Ruhul Amin after the general election.