Representatives of world motorsport's governing body, the FIA, will appear alongside Ferrari at the 'Tribunal de Grande Instance', whose equivalent in England would be a Crown Court and which is presided over by three judges.
As a response to the global financial downturn which has ensured that F1 must rein in its expenditure, the FIA wants a 40m pounds budget cap for each team as of 2010.
Ferrari is one of four teams which has threatened to withdraw at the end of this season unless fundamental revisions are made to the new regulations. They fear it would create a two-tier world championship.
Emmanuel Gaillard, one of Ferrari's lawyers, said Ferrari had no choice in seeking the injunction because the FIA is demanding teams to register for next season between May 22 and 29 - which Ferrari claim runs contrary to earlier pledges made by the FIA.
"Teams have to register (for next season) between May 22 and 29, and must therefore accept the new regulations. Yet, this rule runs totally contrary to the pledges that have been made to Ferrari in the past. It leaves us with no choice," Gaillard told AFP.
FIA president Max Mosley revealed Ferrari intentions to request an injunction last Friday following a meeting in London designed to try and find a solution to the impasse. At the end of the meeting no solution was agreed, with teams leaving to discuss alternatives.
"It was a friendly meeting but the teams have gone off to see if they can come up with something better than the cost cap," Mosley said.
A decision on Tuesday in favour of Ferrari could be disastrous for the FIA which, thanks to the new regulations, is already attracting interest from several smaller teams (Lola, USF1 and Prodrive) keen on joining the championship. A decision in favour of the FIA, however, could lead to some of Formula One's big guns carrying out threats to leave the sport.