"We have decided to relax the prohibitory orders for three hours from 1 p.m. to 4 p.m. as there has been no fresh case of violence," a Delhi Police official told IANS.
Two groups of Hindus and Muslims clashed on Diwali Oct 23 after which the authorities imposed prohibitory orders under Section 144 of CrPC banning illegal gatherings.
The police, however, said the "situation was under control, but still tense".
People can now venture out of their houses to buy milk, vegetables and other essential food items. Like Monday, the police are providing essential commodities through the Safal outlets and Mother Dairy kiosks, the official said.
The schools and offices in the area remained closed Tuesday as well, while the children studying in schools outside the area were allowed to go.
The Trilokpuri area divided into 36 blocks is being manned by over 1,000 security personnel from Delhi Police, Rapid Action Force and Central Reserve Police Force along with over 30 police vans, water cannons and riot control vehicles.