The tree, about seven years old, will be transplanted near the Prerna Sthal, which houses the statues of national icons and freedom fighters that were earlier at different places on the premises.
Prime Minister Narendra Modi led parliamentarians across party lines in bidding farewell to the old Parliament building on Monday.
Police had to fire dozens of tear smoke shells in an attempt to disperse the stone-pelting students from S P College and the adjoining Women's College on M A Road, officials said.