It is also developing an unnamed sporty SUV with electric drive, which is set for launch in 2018. The electric SUV will be part of the Q family and compete with the Tesla Model X crossover.
"In the coming years, the brand with the four rings intends to expand its range of SUVs," Audi AG said in a statement.
It added: "Audi plans to extend its model range from today's 52 to 60 automobiles in 2020."
The new vehicles are expected to be a key part of Audi's growth strategy in the U.S.
Specific U.S. launch plans, technical specifications and pricing were not announced.
Edmunds says: Car shoppers making long-range plans will want to keep Audi's big SUV strategy in mind as the German automaker plans a major offensive against BMW.