Paper Towns will be built around supporting actor Wolff, according to Deadline. He'll star as Quentin, a teen who, with his neighbor Margo, finds a man who committed suicide.
When Margo vanishes, he begins getting clues from her and has to follow them.
The Fault in Our Stars is widely considered to be Green's breakout novel.
Although it was published in 2008, Paper Towns only broke into the top 100 of USA TODAY's Best-Selling Books list on Dec. 26, 2013. That week, The Fault in Our Stars was No. 9 on the list.
Both books continue to steadily rise in sales.