Two senior police officers are among those killed.
Akhilesh Yadav, the chief minister of Uttar Pradesh state, has ordered an inquiry into the violence.
"At 5pm on Thursday, a police team visited the Jawahar Bagh park for a recce following a court order to evict the squatters," state police chief Javed Ahmed told a news conference.
"The protesters fired at the policemen without any warning or provocation. They also pelted the team with stones. Two senior police officers were killed in the attack."
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