Ayub Abdul paid £40 a night to rent the remote holiday let in Rural de Teno park where Jay, 19, spent time with two men before disappearing.
Apprentice bricklayer Jay, who had been at a rave all night, went to the Airbnb in the early hours of June 17.
He shared a final Snapchat from the cottage holding a cigarette at 7.30am.
Jay then tried to make his way back to his holiday accommodation, but after missing the bus was faced with an 11-hour walk.
At around 8.50am he made a final frantic call to friend Lucy, telling her he was lost in the “middle of nowhere” with no water and had just one per cent battery on his phone.
The two men Jay was with in the last hours before he disappeared. spoke to police on the island before jetting back to the UK.
Both men have been described as “irrelevant” to the investigation by Spanish cops.
It is understood the pair met Jay, from Lancashire, during the three-day NRG festival in Playa de las Americas.
A picture has now emerged of Mr Abdul, who rented the Airbnb, which The Sun understands is from his Airbnb profile.
Mr Abdul booked Casa Abuela Tina in the village of Masca – which is around 19 miles from Playa de las Americas – on June 14 for three nights for £120, reports the Mail.
There is no implication of any wrongdoing on Mr Abdul.
Initial reports suggested Jay met the men on the night he vanished, before his close pal Brad Hargreaves claimed he had become friends with them days before.
On Tuesday, two plain-clothed police officers searched the Airbnb apartment again.
Detectives spent two hours combing the let on the island’s northwest.
Last week, the owner of the Airbnb where the men stayed said she has given all the information she had to the police.
Ofelia Hernandez, who owns the holiday let, revealed the pair who rented the accommodation were friendly, booked several days at the cottage, and spent a lot of time inside the property.
She said she saw Jay walking off on his own uphill in the vast mountainous area near Masca on the morning he vanished.
Ophelia told MEN: “It’s dangerous walking around here, it’s easy to lose yourself.
“He walked up the road when I saw him for the last time.
“He was alone. He was walking normally, though he was fast.”
On Monday a Spanish judge revealed there is “no current evidence of criminality” in the case.
Many believed Jay could have been kidnapped or murdered by a criminal gang in the mountains.
But investigating judge Maria Goya, who is being kept informed of developments by police, was told by the Civil Guard that nothing that points to Jay being the victim of a crime.
It comes as Jay’s heartbroken family said “words cannot describe the agony” after the search was abruptly called off on Sunday.
Mum Debbie Duncan said in a heartbreaking statement “we just want to find him” after the family vowed to keep looking.
Her emotional message said: “Jay is a normal guy who is in his third year of an apprenticeship, and he is a very popular young man with a large circle of friends.
“We are a very close family and are absolutely devastated about his disappearance. Words cannot describe the pain and agony we are experiencing.
“He is our beautiful boy with his whole life ahead of him and we just want to find him.
“We do not have any information on his whereabouts.”
Parents Debbie and Warren, as well as brother Zak, are all in Tenerife still looking for answers on what happened to Jay.
They were left “blindsided” by the speed at which the decision to end the search was made.
Cops on the Spanish island pledged to continue to investigate the case if any major tip-offs or information comes in.