The "competitor" Trump was referring to was the National Enquirer - which published a story that exposed damning text messages between Bezos and former TV anchor Lauren Sanchez.
The Post published a bombshell report over the weekend about Trump's meetings with Russian President Vladimir Putin.
In a now-trending tweet, Trump sarcastically referred to the richest man alive as "Jeff Bozo", seemingly alluding to a fictional clown character, which was popular in the U.S. in 1960s.
Trump wished Bezos "luck" on this divorce on Thursday, adding "It's going to be a beauty".
Trump dice que si ataca a los kurdos, Turquía sufrirá devastación
Las operaciones lideradas por Estados Unidos contra el EI en Siria fueron encabezadas por las Fuerzas Democráticas Sirias (SDF) dominadas por los kurdos .
In a jaw-dropping tweet President Donald Trump touted coverage by an unidentified Washington Post "competitor" - though clearly the National Enquirer - of the story behind the breakup of Amazon chief executive Jeff Bezos' marriage.
The Enquirer is a longtime ally of Trump's, and its publisher admitted in December to having bought the rights to ex-playmate Karen McDougal's story of an affair with Trump so that it could quash it using a "catch and kill" deal.
Trump has also always been critical towards Bezos, who bought the Washington Post - a publication the President has attacked for its agenda against his administration - in 2013. Trump phoned into Fox News on Saturday night to refute the article, saying: "I'm not keeping anything under wraps, I couldn't care less".
The president also has a history of animosity toward Amazon.