76-year-old Dikshit on Tuesday said she submitted her resignation to President Pranab Mukherjee soon after she met him and also Union Home Minister Rajnath Singh on Monday.
The President's Secretariat has sent her resignation to the Union Home Ministry for necessary action, official sources said.
"I have resigned, I did it on Monday and I don't want to comment further," Dikshit, a former Delhi chief minister, said.
Dikshit said she will speak on the issue only after she gets an official word on the acceptance of the resignation.
With this, Dikshit becomes the eighth Governor to have resigned since the Narendra Modi government came to power on May 26.
Six UPA appointed Governors - K Sankaranarayanan (Maharashtra), M K Narayanan (West Bengal), Ashwani Kumar (Nagaland), B L Joshi (UP), B V Wanchoo (Goa) and Shekhar Dutt (Chhattisgarh) - have already resigned after being nudged by the NDA government.
V Purushothaman, the Governor of Mizoram, had resigned after he was transferred to Nagaland in July this year.
Dikshit, who served as Delhi Chief Minister from 1998 to 2013, was appointed Kerala governor in March just before the model code of conduct came into force for the Lok Sabha polls.

Sheila Dikshit is the eighth governor to resign since NDA came to power
Sheila had met President, Union Home Minister before quitting
There were reports that she may be transferred to Mizoram
She was appointed Kerala governor in March this year
Maharashtra Governor K Sankaranarayanan had also resigned after shifted to Mizoram
There were indications that Dikshit may be next in line to be transferred to Mizoram, a state where Sankarnarayanan and Kamla Beniwal were shunted out to.
87-year-old Beniwal, who had a running battle with a running battle with then Gujarat Chief Minister Narendra Modi when she was governor of the state, took charge as Mizoram Governor but was sacked after a month by the NDA government.

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