Criminal contempt of the Supreme Court is punishable with fine up to Rs 2,000 and imprisonment up to six months.
The plea has alleged that Kunal Kamra's tweets are in 'such bad taste' that an ordinary prudent man can gather that he has scandalised the apex court.
The top law officer had last week granted consent for initiation of contempt proceedings against Kamra for his earlier tweets which allegedly criticised the apex court.
Meenakshi Lekhi also said that explanation of Twitter about banning handles and tweets was found to be inadequate.
Kamra's statement comes a day after Attorney General K K Venugopal consented to the initiation of criminal contempt proceedings against him for a series of tweets.
In a tweet following the release of anchor Arnab Goswami, Kamra wrote 'DY Chandrachud is a flight attendant serving champagne to first-class passengers...'
However, aviation experts have strongly reacted alleging double standards on part of DGCA.
The court also declined Kamra's oral plea for an interim direction permitting him to fly on any of the airlines.
On January 28, Kamra was banned by IndiGo from flying with the airline for six months for allegedly heckling a private TV news anchor.
Last month, IndiGo had barred Kunal Kamra for six months for portraying unacceptable behaviour onboard one of its flights.
Justice Navin Chawla recorded the statement by the Directorate General of Civil Aviation (DGCA) and asked it to take a decision on Kamra's representation within eight weeks.
Kamra said he was banned by IndiGo for a six-month period before its internal committee even arrived at a decision while other airlines - Air India, Spicejet, GoAir imposed an indefinite ban.
Kunal Kamra was reissued the ticket and allowed to board the flight once the airline staff at the Jaipur airport realised that he is not the comedian who is on the no-fly list of four airlines.
After Kunal Kamra's diatribe against Arnab, IndiGo banned the comedian from flying for six months.
In a legal notice sent to the airline on Friday, Kamra's lawyer asked the airline to 'pay compensation towards my client in sum of Rs 25 lakhs on account of the mental pain suffered by my client.'