Campaigning for the 28 assembly seats going for bypoll in Madhya Pradesh on November 3 ends on November 1 evening.
Imarti Devi, who is also a minister in the Madhya Pradesh government, did not name the political rival in a video on social media.
The comments of Kamal Nath, who is the Madhya Pradesh Congress chief, against the BJP minister had created a furore and invited a wave of criticism.
The complaint was submitted to the Chief Electoral Officer by a Congress delegation led by Nath’s media coordinator Narendra Saluja.
Kamal Nath, who is the state Congress president, had later expressed regret over it and asserted that he did not say anything disrespectful.
The remarks have triggered an outrage with BJP leaders, led by chief minister Shivraj Singh Chouhan, staging protests against Kamal Nath.
Nath had written to Chouhan stating he had not said anything disrespectful against BJP candidate, Imarti Devi, claiming that the word could be used in many different contexts.
Nath is facing flak from the ruling party for referring to minister Imarti Devi as "item" during a campaign speech for Assembly by-election.
Under attack from the BJP, Kamal Nath seemingly justified his “item” reference saying he wasn’t remembering the name and so he said it.
Chouhan wrote to Congress president Sonia Gandhi, demanding that Nath be removed from all party posts.
The exit of Imarti Devi and 21 other Congress MLAs in March brought down Nath's government.
She said that the comments made by Kamal Nath exposed the mindset of the grand-old party towards the Dalit community.
Chouhan along with state ministers Narottam Mishra, Bhupendra Singh, Vishwas Sarang and some women members of the BJP began the 'maun vrat' (silent fast) at Minto Hall in Bhopal at 10 am.
Congress' crooked and despicable mentality to the fore again: Chouhan hits out at Nath over sexist jibe against MP minister
The remark is a disrespect not just of the minister, but each and every girl of the Gwalior-Chambal region, Chouhan said in a tweet on Sunday.
Imarti Devi, the women and child development minister in Shivraj Singh Chouhan government and three-time former Congress MLA from Dabra (SC) seat, is seeking re-election now as a BJP candidate.