He tweeted: "Time Magazine called to say that I was PROBABLY going to be named 'Man (Person) of the Year,' like last year, but I would have to agree to an interview and a major photo shoot.
"I said probably is no good and took a pass. Thanks anyway!"
The magazine confers the distinction on the person who "for better or for worse... has done the most to influence the events of the year."
Trump was named the magazine's 2016 "Person of the Year" following his election, in an edition which carried the title "President of the Divided States of America."
The former real estate tycoon keeps a close eye on the award, and complained on Twitter in 2012, 2014 and 2015 about not being picked.
In June, the Washington Post revealed several of his golf clubs prominently display a framed copy of a fake Time cover featuring several positive headlines and Trump as its cover.
Since announcing his presidential run, Trump has had an antagonistic relationship with much of the US media, accusing critical outlets of peddling "Fake News."
(Except for the headline, this story has not been edited by NDTV staff and is published from a syndicated feed.)