House Of Cards star Kate - who plays The Invisible Woman Sue Storm in the movie - posted a picture on her Twitter page of herself and co-stars Miles, 27, Michael B Jordan, 27, and Jamie Bell, 28, outside an Italian restaurant.
Kate, 31, tweeted: 'That's a wrap on #FantasticFour! Thanks to my boys @Miles_Teller @michaelb4jordan @1jamiebell for the fun times...'
That Awkward Moment star Miles, who is playing Reid Richards aka Mr Fantastic, also posted a picture on Instagram of himself and Jamie - who is cast as Ben Grimm/The Thing - with two young boys thought to be playing younger versions of their characters, and wrote: 'That's a wrap on Fantastic 4.. A lot of hard work went into rebooting this franchise, can't wait to see it all come together.'
He added on Twitter: 'And that's a wrap on the lovely & talented @_KateMara. They couldn't have picked a better invisible woman for me to lust after.'
Michael B Jordan is playing Johnny Storm/The Human Torch in the comic book movie, about four astronauts who gain superpowers after cosmic radiation exposure.
British actor Toby Kebbell, 32, from Dawn Of The Planet Of The Apes, will play villain Doctor Doom in the reboot of the 2005 and 2007 films, which starred Jessica Alba, Chris Evans, Ioan Gruffudd and Michael Chiklis as the Fantastic Four.
Details of the plot are being kept under wraps, but there are rumours of an X-Men crossover, as the characters exist in the same universe as the mutants.
Chronicle director Josh Trank will be at the helm the movie while Michael Green and Seth Grahame-Smith have worked on the script alongside Simon Kinberg, who will also co-produce the film.
Fantastic Four is due to be released in cinemas in June 2015.