The controversial TV presenter was recently sacked from the motoring series after a “fracas” over hot dinner sent producer Oisin Tymon to A&E with a split lip in early March.
More than a million people signed an online petition to see Clarkson return to Top Gear, but BBC Director General Tony Hall came to the decision that “a line has been crossed” and “there cannot be one rule for one and one rule for another”.
However, a BBC spokesperson has said that while Clarkson will no longer present Top Gear, he “isn't banned from appearing on the BBC”, meaning he is free to record Have I Got News For You.
The episode will air on 24 April and it will be the first time Clarkson is seen on TV since 8 March, when the last Top Gear was broadcast. There will undoubtedly be many jokes made at his expense.
The 54-year-old has featured on the popular show a dozen times since Angus Deayton left in 2002. He famously threw a pen at team captain Ian Hislop during a 2008 episode, leaving him with a cut on his face.
“We had to stop recording,” said Hislop. “He refused to believe it was blood. He said it was red biro and then apologised to me afterwards.”
Jimmy Mulville from production company Hat Trick, which makes Have I Got News For You, told the Broadcasting Press Guild last month that he thought Clarkson was “a fantastic broadcaster”, adding that they should “get the producer on so he can hit Jeremy Clarkson live on television”.
Clarkson's wider future remains unclear, although North Yorkshire Police announced yesterday that he will not face police action over his attack on Tymon, which happened at a hotel in the area.
It emerged last week that he will still appear on stage with former Top Gear colleagues Richard Hammond and James May to fulfil a series of live hows planned before he left the BBC. The events will be stripped of all BBC branding and content and billed as Clarkson, Hammond and May Live.
That means the shows, which will take in venues in Australia, Norway, South Africa and the UK, will not be able to use clips from Top Gear or feature The Stig.
Things you never knew about Top Gear
Things you never knew about Top Gear
1/14 Top Gear isn't really for adults
It's 'aimed at people with a mental age of nine', according to executive producer Andy Wilman.
2/14 Planet Earth loves it...
Top Gear is screened in more than 100 countries worldwide and has millions of fans.
3/14 ...but not all motoring hacks do
You might think Jezza was a hero of the motoring hack world but that's not strictly accurate. Telegraph journalist Neil Lyndon summed Top Gear's 21st birthday last year up well: 'Does that mean Billy Bunter and his gang finally get forced out of the Fourth Remove and into long trousers?'
4/14 The Top Gear theme tune is a classic rock song
Seven-minute instrumental 'Jessica' by The Allman Brothers was a hit in 1973. Top Gear has recorded its own version now but used part of the original recording at first. One for the road trip playlist.
5/14 Jeremy Clarkson couldn't get much more controversial if he tried
The presenter is currently suspended from the BBC following a 'fracas' with a producer over a steak dinner. Past scandals include a string of racism allegations.
6/14 This Porsche caused all sorts of trouble in Argentina
The Top Gear team were forced to flee Argentina after locals took offence at the car's number plate - believing it was a deliberately provocative reference to the Falklands War of 1982.
7/14 If it's car-buying advice you want, look elsewhere
It's an in-joke in Top Gear that they don't do car tests. You would be mad to make a purchases based on Jezza's verdict.
8/14 Richard Hammond had a near-death experience filming Top Gear
The 'Hamster' was filming a Top Gear segment in a dragster called Vampire when its front-right tyre burst at 288mph. Hammond spent two weeks in a coma but luckily went on to make a full recovery. He requested that no mention of the crash was made in future Top Gear episodes.
9/14 Jeremy Clarkson is more than a little bit taller than Richard Hammond
Nine inches, to be precise.
10/14 Top Gear used to offer real advice
Before these lads took over, it was a real car-reviewing show with presenters such as Angela Rippon, who gave practical reviews of down-to-earth workhorses such as Cavaliers or Mini Metros.
11/14 Those 'reasonably priced' cars take quite a battering
Denis Chick, of Vauxhall, is brave to have lent the show a fleet of his Astras. He said: "Vauxhall Astra sales would not improve if everyone drove like Jimmy Carr around the Dunsfold track." The comedian hilariously took his test car's front off-side tyre clean off its rim.
12/14 Jeremy Clarkson is a YouTube star
Stray down the motoring internet hole and you'll find lovingly posted videos of 'Clarkson the early years' with incredibly loud hair reviewing 1990s cars in an oddly sensible manner. Very disturbing viewing.
13/14 There have been multiple Stigs
Racing driver Perry McCarthy was stuntsman The Stig on the first two series of Top Gear - here's the man under that famous helmet.
14/14 Ben Collins was The Stig for eight years
Ben Collins was The Stig on Top Gear for eight years. He left amid a clash with the BBC when he unmasked his identity and published an autobiography. Collins thinks Top Gear has 'lost some of its sparkle'.
The move has sparked rumours that the three men intend to team up to continue their careers together after Clarkson's exit from the corporation, but sources close to the tour say it is simply a matter of not wanting to disappoint fans.
The future of the show's other two presenters, Hammond and May, is also in doubt, with both men's Top Gear contracts having run out.
Police are still investigating threats to kill Hall, reportedly linked to his decision to axe Clarkson. The former chief executive of the Royal Opera House took over the £450,000 BBC post in April 2013 to replace George Entwistle, who left the corporation in the wake of the Jimmy Savile sex abuse scandal.
Additional reporting from the Press AssociationReuse content