That's $38,000 (£23,750) more than the base weekly pay for Broadway actors, according to Bloomberg News.
The Tennessee Williams revival begins previews on 18 December (12) and Johansson will play the role of Maggie in the production. The late Elizabeth Taylor took on the part in the film version of the tense drama.
According to the business papers, Johansson will also collect 7.5 per cent of ticket sales above $530,000 (£331,250).
Johansson won a Tony Award for her 2010 Broadway debut in a revival of Arthur Miller's A View from the Bridge.