Residents gathered on a local beach cheered the move, according to an AFP reporter on the scene.
“It’s purely for humanitarian reasons,” said fisherman Aples Kuari.
“We were sad seeing kids and pregnant women stranded at sea,” he added.
Earlier Thursday, local police chief Eko Hartanto said they wanted to send the Rohingya back to sea rather than give them temporary shelter.
But authorities appeared to soften that stance in the face of local protests, and the weary group are now temporarily being put up in private residences.
The Rohingya would be checked by medical staff to ensure they were virus-free, according to Aceh’s rescue agency.
Amnesty International praised the spirit of the rescue.
“Today’s disembarkation of Rohingya refugees is a moment of optimism and solidarity,” said Indonesia Executive Director Usman Hamid in a statement.
“It’s a credit to the community in Aceh who pushed hard and took risks so that these children, women and men could be brought to shore. They have shown the best of humanity.”
Indonesia and neighboring Malaysia are favored destinations for Muslim Rohingya fleeing persecution and violence in mostly Buddhist Myanmar, with thousands trying a perilous escape via smugglers across the sea every year.
Muslim-majority Indonesia has previously allowed Rohingya refugees to land and allowed many to stay.