The 27-year-old actress made her New York stage debut in 'A View From The Bridge' in 2010 and picked up a Tony Award for her performance.
The "Lost In Translation" star is slated to take on the role made famous by the late Elizabeth Taylor in the 1958 movie adaptation of the play, reported Variety online.
"I'm close to making a deal on it. I cannot wait absolutely to get to it. I'm exhilarated, I'm terrified, but I think in a good way," Johansson said. Her "The Avengers" co-star Jeremy Renner has also been linked to a role in the production.
Photos: Salman Khan returns from Jodhpur to Mumbai
Pics: Sidharth Shukla-Rashami Desai's sizzling chemistry at TV show launch
Ooh La Lana! WWE Diva flaunts sexy curves in these 30 pictures
15 'peach' perfect photos of Priyanka Chopra at People's Choice Awards 2017
62 going on 16: These photos of Rekha prove she is 'forever young'