The state government told a vacation bench of Justices Vineet Saran and B R Gavai that investigation is going on.
The NCW had set up an inquiry committee while taking suo motu cognisance of several incidents of violence against women in West Bengal.
Post-poll violence in Bengal: Retired judges, diplomats, women lawyers others write to President Kovind, CJI Ramana
Citing media reports, they said over a dozen persons, including women, have been killed in post-poll violence in the state in over 15,000 incidents of alleged violence.
'Never heard of such post-poll violence': Bengal Governor breaks into tears while visiting Nandigram
"Where have I come? I can’t believe what I have experienced. Democracy never allows such violence. I never heard of such violence after elections," said Dhankhar at Nandigram’s Kendamari.
Dhankhar vs Trinamool: Bengal Governor visits Assam camp sheltering people affected by post-poll violence
Accompanied by Nisith Pramanik, the BJP MP from Cooch Behar in north Bengal, Dhankhar went to the camp in Assam's Dhubri district and interacted with the people, including women and children.
Mamata also accused the governor of dictating the state officials in excess of his power and by bypassing the CM and council of ministers.
The governor is scheduled to visit areas affected by post-poll violence in Cooch Behar district on Thursday.
'People paying with lives for exercising voting rights, will visit violence-hit areas': Bengal Governor
The governor further said that the state administration was yet to respond to his request for necessary arrangements prior to his visit to the affected areas.
The bench directed advocate general for the state, Kishore Dutta, to specify in the affidavit the names of areas where violence broke out, and the steps taken to prevent or control the same.
The four-member fact finding team to look into reasons for the post poll violence in West Bengal and also assess the ground situation in the state.
The Karimnagar MP alleged that Mamata won the election with the funds which she had received from Bangladesh and the support of Rohingyas.
Around 14 deaths of political workers have been reported from West Bengal since May 2 when the assembly results were announced.
While the BJP claimed seven of the victims were its supporters, the Trinamool counted six of the diseased as its workers.
Comparing the TMC with Nazis, the BJP dubbed the government is Bengal as fascist.
BJP announced a nationwide dharna on May 5 against the violence, and said these protests will be held following all COVID-19 protocols.