Mayawati first walked out of the chamber before formally announcing her decision to resign.
"Let me speak or I will resign," Mayawati had said.
Mayawati, whose term in the Upper House is till April next year, argued with Kurien saying how can she be prevented from raising the issue about her 'samaj' (community) and the Dalits. "I have not finished. You cannot do this."
After saying so, she walked out of the House.
BSP members immediately rushed into the Well shouting "Dalit virodhi yeh sarkar nahi chalegi, nahi chalegi" (anti-dalit government will not be tolerated).
Earlier, Mayawati hit out at the government for not doing enough to stop atrocities against Dalits and other backward and deprived classes.
"Since the time the BJP has come to power, there has been exploitation of the Dalits, poor, minority, and backward castes," she said.
Mayawati further said that the BJP formed its government in Uttar Pradesh after distorting the Electronic Voting Machine (EVM).
"The Dalits were suppressed in Saharanpur but the government did not do anything about it," she said.
"No community is safe in UP, but the condition of the Dalits is worse," she added.
Mayawati said that she has come as speaking as the voice of the suppressed.
Even the Congress staged protest in the well regarding the law and order situation in the state.
Both, Rajya Sabha and Lok Sabha have been adjourned.
(With inputs from agencies)