The plans for an 18-hole course, which he wants to name after his Scottish mother Mary MacLeod, would sit next to his Championship links on the Menie Estate in Aberdeenshire.
The American tycoon paid tribute to the architect Dr Martin Hawtree, who also designed the first course and the world-famous Royal Birkdale.
Trump said: "Once again Martin Hawtree's design in genius. We have the greatest piece of links land in the world. The unprecedented demand to play our championship course has accelerated our plans to build the second course."
Designer Dr Hawtree said: "The special challenge for me is to ensure that it sits comfortably beside its majestic neighbour, neither outshone by the existing course nor making any attempt to mimic or rival those leviathan qualities."
Many residents on the Menie Estate spoke of their devastation that another course was to be built on the other side of the homes those who have battled Trump's efforts to remove them from the land.
David Milne said: "I think it's despicable they can consider surrounding someone like this and if they continue this kind of treatment then it is an issue."
Sarah Malone, executive vice president for Trump International Golf Links Scotland, said: "We are more committed than ever to creating the greatest golf destination in the world."
Trump is due to return to Scotland in April where he will finalise the layout.
The mogul will then put the plans to Aberdeenshire Council. Unlike the first course, which opened last July, the new layout would lie outside a Site of Special Scientific Interest.