According to a statement released by the other two members of the band, the singer and guitarist had left "indefinitely".
In an interview with Rolling Stone, drummer Travis Barker and bassist Mark Hoppus described complications with writing and recording a new album.
However, DeLonge posted "to all the fans, I never quit the band" on Instagram.
He continued: "I was actually on a phone call about a Blink 182 event for New York City when all these weird press releases started coming in.
"Apparently those reports were 'sanctioned' from the band. Are we dysfunctional - yes. But, Christ. #Awkward."
A poster for an upcoming Blink 182 show at an event organised by Travis Barker suggests the guitarist would be replaced by Alkaline Trio's Matt Skiba.
Many of DeLonge's recent posts on Twitter consist of promotion for his other band, Angels & Airwaves, with several links to their the latest album The Dream Walker.
Last summer he performed with Blink 182 in their headline set at Reading and Leeds Festivals.
According to his bandmates, the guitarist's manager sent an e-mail which said: "Tom. Is. Out."
Mark Hoppus claimed this is identical to a message they received in 2005 when DeLonge went on hiatus before reforming in 2009 ahead of the release of the band's sixth studio album Neighborhoods in 2011.
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Jerome Lavrilleux said the former president was not aware of the "slip".
It comes after a lawyer for an event organiser accused the UMP of ordering almost 11m euros ($15m; Â£9m) worth of fake invoices to cover overspends.
Reports say the scandal could damage the party and complicate any efforts by Mr Sarkozy to be re-elected.
Police searched the headquarters of the UMP in Paris on Monday afternoon.
"There have been anomalies," Mr Lavrilleux, a deputy director of Mr Sarkozy's 2012 presidential campaign, told France's BFM TV. with tears in his eyes.
"There was no wrongdoing, there was a terrible spiral, a train going at high speed and people who should have pulled the emergency alarm and didn't, and I was probably one of them," he said.
He said Mr Sarkozy, UMP Chairman Jean-Francois Cope and Batien Millot, the founder of the events company Bygmalion, were not aware of the actions taken.
It comes after Patrick Maisonneuve, the lawyer for Bygmalion, told the same television station that the centre-right UMP had ordered fake invoices to cover exploding campaign costs.
He said it was made clear to Bygmalion that if it did not comply, it would not be paid.
The UMP's chairman was already facing growing speculation that he will have to step down after the French newspaper Liberation reported this month that the party paid some 20m euros to a unit of Bygmalion, founded by two associates of Mr Cope, to organise campaign events.
Mr Cope told BMF TV earlier on Monday that he knew nothing of any wrongdoing.
He said he had put his trust in the people who were responsible for the party's accounts and did not think he had to look over their shoulders.
Mr Cope was already expected to face challenges for the leadership of the party after the UMP's poor result in the European Parliament elections. It came second to the far-right Front National.
Mr Sarkozy, who lost the presidency to Francois Hollande in 2012, is rumoured to be preparing to make a comeback in 2017.
He has not commented on the scandal over his 2012 campaign finances.

Michael Forney, Jonathan Boxill, James Desmarais, Matt Nickerson, David Rutherford, Mark Garside and Brandon Benedict are staying at the SSE Arena.
It follows the announcement last week that captain Adam Keefe had signed a new deal to remain with the Giants.
Belfast finished fourth in the league standings last season.
Tom DeLonge has denied that he is leaving Blink 182.
[NEXT_CONCEPT]
A senior member of France's opposition UMP party has admitted there were "anomalies" in the accounts of Nicolas Sarkozy's 2012 presidential campaign.
[NEXT_CONCEPT]
Seven players have re-signed for the Belfast Giants as the Elite League team continues to build its roster for the 2016/2017 campaign.