The 1.5-acre site would become the exclusive final resting place for wealthy club members, The (Newark, N.J.) Star-Ledger reported Monday.
A section of the plot would be saved for Trump and his next of kin, said Ed Russo, a Trump consultant.
"It's a very personal decision, but he's considering it," Russo said. "This is really about members but we do plan to set something aside for Mr. Trump and his family."
Trump is seeking to change how family members of avid golfers are able to honor loved ones' wishes of having their ashes dispersed on golf courses.
"It's one thing to be buried in a typical cemetery," Russo said, "but it's another if you're buried alongside the fifth fairway of Trump National, where golfers will hold memberships over many generations."
Russo said Trump, who in 2007 first considered being buried near his award-winning golf course, is about two months away from submitting an application to the state of New Jersey, which must approve every new cemetery.
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