The US businessman lodged plans in October for the second course at his resort in Menie, Aberdeenshire, to be named the MacLeod course.
Aberdeenshire Council confirmed the application - which was never fully completed - has now been withdrawn.
Mr Trump lost a legal bid at the Court of Session earlier this week to stop an offshore wind turbine development being built within view of his existing course on the North Sea coast.
On the same day he announced the purchase of Doonbeg Golf Club, County Clare, in Ireland.
Mr Trump has long threatened to pull the plug on his Scottish development if the turbines are built.
He revealed the Doonbeg deal just hours after the Court of Session in Edinburgh ruled against him.
Speaking last year, at the launch of plans for the MacLeod course, Sarah Malone, executive vice president of Trump International Golf Links, said the 18-hole course had been designed to complement the existing championship course.
Mr Trump's representatives were not available to comment on the withdrawal of the plans.