The charity Glasgow Urban Sports wants to build the facility in the Port Eglinton area, between Pollokshaws Road and the A77, in the city's South Side.
It said the park would make use of the M74 flyover, which would shelter more than 50% of the space beneath, meaning it could be used in bad weather.
Designs for the park are going on show at The Lighthouse, in Mitchell Lane, in Glasgow, with an exhibition running from this week until August 10.
The plans have been drawn up by lead designers Raydale Dower and Toby Paterson.
Mr Dower said the park was designed to be used, not just looked at.
He said: "We are consciously quoting from the best skate spots around the world and building in things like, back-yard swimming pool bowls, china town banks, and urban plaza design with seating areas and landscaping for members of the local and general public to enjoy."
Mr Paterson said the park would have a "strong visual aesthetic, sculptural presence and functional, yet non-prescriptive architect".
He said: "We're trying to redefine the preconceived notion of what a public park might be. So while the benches act as seating, where people can observe the space, they are also there to be skated over and used so the park is open to user interpretation."
The scheme has been supported by Creative Scotland, Transport Scotland and Glasgow City Council.
The council's design advisor Gerry Grams said the park had the potential to act as "a physical and psychological landmark",
"It provides a green space within what was a heavily industrial area of the city," he said.
"What's particularly exciting about the park is that it offers the opportunity to link existing and new pedestrian and cycling links the area currently lacks.
"At the same time it acts as an intriguing conduit destination, attracting cultural tourist's route between city centre, Gallery of Modern Art and Tramway."
The sports charity was formed to create the new skatepark and improve skatepark provision in Glasgow. It is also looking at a smaller project in the Port Dundas area.
Documents drawn up by the group point out the existing skatepark at Kelvingrove Park is oversubscribed "to such a degree that it becomes almost unusable".
Transport Scotland said the new M74 viaduct provided "a great location to develop an area for urban recreational sports,"
"We welcome this positive use of existing space within our transport network," they said.
The exhibition runs from Saturday until August 10 and members of the public are encouraged to go along.