OFFICIALS appealed for calm, and thousands of police and paramilitary troops have been deployed in the city in Uttar Pradesh state.
Hundreds of people were detained on Friday amid fears of violence.
Hindus and Muslims have for decades been bitterly divided over the 16th Century Babri mosque in Ayodhya.
The court case centres on the ownership of the land and has been dragging on in the Supreme Court for years.
Schools and colleges in the area have been closed and all roads leading to the site have been blocked by police.
Provincial police chief Om Prakash Singh told Reuters news agency that social media platforms were being monitored for inflammatory posts ahead of the verdict.