The STR9 will be revealed to the media in the pit lane ahead of the first test at the Spanish circuit.
The team will then head straight into testing on the following day, with Jean-Eric Vergne giving the car its track debut.
Reigning GP3 champion Daniil Kvyat joins Vergne at the team for 2014, in place of Daniel Ricciardo.
Toro Rosso is set to become the fourth team to launch their 2014 car.
McLaren, Ferrari and Sauber will all unveil their cars online, with the Woking based team the first to launch on January 24. Ferrari will follow suit on January 25, with Sauber revealing their C33 a day later.
Red Bull, Mercedes and Caterham will unveil their 2014 machines on the morning of January 28.