Christian Willoughby did not elaborate on the “misdemeanour” that caused his overnight stay on Wednesday but said he would “definitely come back” in the Facebook post.
“I've given this place four stars,” he wrote. “It's the all-day breakfast that lets it down really.
“Apart from that the staff are pleasant enough. Had my own on-suite room and butler, who would come with tea and newspapers.”
Mr Willoughby described the “minimalistic” décor as a “nice touch” and said it could not be faulted for security.
“Quadruple glazing and security door,” he added. “Ideal place for winding down after a hard day. I'd definitely come back.”
He took a selfie in front of the security door and photographed the windows, metal toilet and sparse bed complete with a stencil offering advice for drugs problems above.
The detainee was less impressed by the hot breakfast, which he described as two sausages “floating around a runny sauce with a threw diced potatoes thrown in”.
His post quickly went viral and has been shared more than 4,300 times so far, with amused readers hailing him as the “funniest guy ever”.
When asked whether he managed to get a forbidden mobile phone into the cells, Mr Willoughby replied that he had used an iPad.
Humberside Police said the "breach of security" is being investigated.
UK news in pictures
UK news in pictures
1/19 24 June 2017
Britain's opposition Labour Party leader Jeremy Corbyn addresses revellers from the Pyramid Stage at Worthy Farm in Somerset during the Glastonbury Festival
2/19 23 June 2017
British Prime Minister Theresa May addresses a news conference at the EU summit in Brussels, Belgium, June 23, 2017
3/19 22 June 2017
Cosplay fans (L-R) George Massingham, Abbey Forbes and Karolina Goralik travel by tube dressed in Harry Potter themed costumes, after a visit to one the literary franchise's movie filming locations at Leadenhall Market in London, Britain
4/19 22 June 2017
Racegoers cheer on their horse on Ladies Day at the Royal Ascot horse racing meet, in Ascot, west of London
5/19 21 June 2017
A reveller walks among the tipi tents at the Glastonbury Festival of Music and Performing Arts on Worthy Farm near the village of Pilton in Somerset, South West England
6/19 20 June 2017
A police officer lays some flowers passed over by a member of the public, close to Finsbury Park Mosque in north London, after one man died and eight people were taken to hospital and a person arrested after a rental van struck pedestrian
The Borough Market bell is seen in Borough Market in central London following its re-opening after the June 3 terror attack
Two women embrace in Borough Market, which officially re-opens today following the recent attack, in central London
Mayor of London Sadiq Khan attends the re-opening of Borough market in central London following the June 3 terror attack
People walk through Borough Market in central London following its re-opening after the June 3 terror attack
News Corp CEO Rupert Murdoch, with one of his daughters, visit Borough Market, which officially re-opened today following the recent attack
A woman reacts in front of a wall of messages in Borough Market, which officially re-opened today following the recent attack, in central London
Vivenne Westwood walks the runway at the Vivenne Westwood show during the London Fashion Week Men's June 2017 collections
Millwall fan and London Bridge hero Roy Larner on 'Good Morning Britain'
Richard Arnold, Roy Larner, Piers Morgan and Susanna Reid on 'Good Morning Britain'
16/19 11 June 2017
England players celebrate after defeating Venezuela 1-0 to win the final of the FIFA U-20 World Cup Korea 2017 at Suwon World Cup Stadium in Suwon, South Korea
17/19 11 June 2017
England players celebrate with the trophy after the final match of the FIFA U-20 World Cup 2017 between Venezuela and England at Suwon World Cup Stadium in Suwon, South Korea
18/19 11 June 2017
Great Britain's Alistair Brownlee celebrates winning the Elite Men Columbia Threadneedle World Triathlon Leeds
Danny Lawson/PA Wire
19/19 11 June 2017
Two men drink beer outside the Southwark Tavern which reopened for business today next to an entrance to Borough Market which remains closed in London
"The force are aware of pictures apparently of the Grimsby Custody Suite on social media,” Chief Inspector James Glansfield said.
"These appear to have been taken by a prisoner while in custody on Wednesday 9 March.
"We take any such breach of security and detainee safety extremely seriously and will be carrying out a review of our detainee management to identify any lessons learned and prevent further reoccurrences in the future.
"The force's Professional Standards Branch is investigating the circumstances of the incident."
Additional reporting by PAReuse content