According to TV reports, on being asked about his resignation, Ganguly lashed out the media persons saying, "that is none of your business".
On Tuesday, Justice Ganguly replied to the NCW notice and sought four weeks time.
A law intern had alleged that she was assaulted by Ganguly and revealed in her affidavit that he asked her to 'share room with him'.
The Supreme Court then indicted him in the sexual assault case in which he had allegedly sexually assaulted the law intern inside a hotel room in Delhi.
The three-judge committee of the apex Court, who probed the allegations against Ganguly by the complainant, said that the accused has been found guilty of committing an "act of unwelcome behaviour" and "conduct of sexual nature" towards the woman law intern.
On regignation demands, Justice Ganguly told media, "none of your business".
The complainant, in her blog, wrote that the incident allegedly had taken place at a time when the nation was protesting against Dec 16 gangrape case in Delhi.
The Trinamool Congress in West Bengal has demanded Ganguly's resignation from the post in WBHRC. In spite of demands from across the nation for his resignation, Ganguly has been clinging on to the post.
On Monday, law minister Kapil Sibal told reporters, "In the light of the latest revelation by the Additional Solicitor General (ASG) published in a national daily, I think it's time for Justice Ganguly to voluntarily submit his resignation."
ASG Indira Jaising Sunday made public the law intern's affidavit detailing the sequence of the events which she submitted to the three-judge committee, which indicted Ganguly, finding him guilty of "unwelcome behaviour" towards the intern.
Meanwhile, the BJP has urged President Pranab Mukherjee to remove Justice AK Ganguly.
If justice Ganguly does not resign, the government might take the position and decide.