The actress is reported to be on board to appear in the film, which will be directed by Meet the Parents’ Jay Roach, according to Deadline.
Kristin Gore, the daughter of former US vice president Al Gore, will write the screenplay from Ronson’s non-fiction investigation into psychopathy.
It has yet to be made clear how the book will be adapted into a narrative for the big screen, or which role Johansson will take on.
The Psychopath Test: A Journey Through the Madness Industry explores the concept of psychopathy, as well as the broader mental health industry including mental health professionals and the mass media.
Best films to watch in 2015
Best films to watch in 2015
1/9 Suffragette - 11 September
Meryl Streep is bound to make a formidable Emmeline Pankhurst in Sarah Gavron's new film about the British women's suffragette movement of the early 20th century. Streep is again working from a screenplay by Abi Morgan who also wrote The Iron Lady.
2/9 Far From The Madding Crowd - 1 May
Thomas Vinterberg turns his hand to Thomas Hardy and British costume drama. Memories of the John Schlesinger version with Alan Bates and Julie Christie will be hard to exorcise. Carey Mulligan and the mercurial Flemish actor Matthias Schoenaerts star as Bathsheba Everdene and Gabriel Oak.
3/9 Jurassic World - 12 June
The third Jurassic Park sequel is finally here starring Chris Pratt. The storyline goes something like this - theme park gets dinosaur to attrack visitors and it all goes horribly wrong. Should prove a fun one among cinema-goers.
4/9 Terminator: Genisys - 3 July
Arnold Schwarzenegger kept his promise - he's back and he's trying to stop Judgement Day.
5/9 Spectre - 6 November
Bond is back for the 24th time. So is arch-villain Blofeld. Director Sam Mendes did a sterling job with Skyfall but the last movie ended on a very downbeat note with poor old Judi Dench signing out of the series. The challenge now is to reinvigorate a franchise that is already well into its 50s.
6/9 Cake - 20 February
It's Rachel from Friends as you've never seen her before as Jennifer Aniston plays Claire Bennett - a woman who initiates a relationship with a widower while battling hallucinations of his dead wife.
7/9 Suite Francaise - 13 March
It will be intriguing to see how Saul Dibb’s long-awaited adaptation of Irène Némirovsky’s novel deals with a problem that has often confounded British film-makers: how to portray French characters played by English-speaking actors in Nazi-occupied, wartime Paris without slipping into ’Allo ’Allo!-style caricature. Michelle Williams and Kristin Scott Thomas lead Dibb’s promising cast.
8/9 In The Heart Of The Sea - 13 March
Chris Hemsworth plays tough seafarer Owen Chase in this dramatic Moby Dick movie.
9/9 Cinderella - 27 March
Kenneth Branagh's live action remake of Disney's classic tale stars Downton Abbey's Lily James. Helena Bonham-Carter and Cate Blanchett also star as the Fairy Godmother and evil stepmother.
The book also includes a number of anecdotes about and interviews with people who are thought to be psychopaths.
The Psychopath Test spent the whole of 2012 on the UK’s bestsellers list and ten weeks on The New York Times bestseller list.
Johansson is due to begin filming on the forthcoming sci-fi film Ghost in the Shell about a cyborg that attempts to bring down a computer hacker.
It is not known yet when filming for The Psychopath Test will begin, or when it will be released.