Seventy protesters had been detained and legal action would be initiated against them, police said in a statement late on Monday.
Early on Tuesday, about 150 to 200 protesters gathered at the protest site of Jantar Mantar in central Delhi, chanting slogans amid a mild drizzle.
Security remained tight with paramilitary personnel patrolling parts of central Delhi and barricades slowing traffic.
"We had to call off the protest yesterday because we did not want more youth to be injured," CJP founder Abhijeet Dipke told a press conference.
"We will not march again because the police will hurt the youth again," he said, adding that more than 150 protesters were undergoing treatment in hospital.
Reuters could not independently verify that number.