Somogyi, 26, has become Martin Jol's first signing since he took over at Craven Cottage and also had a trial at Ajax during Jol's time in charge at the Dutch club.
The former Rakospalotai EAC man signed as a free agent and the club have an option to extend the deal by a further year until 2013.
He will compete with Mark Schwarzer and David Stockdale to be first-choice at Fulham, although Stockdale has been linked with a move away from the club.
Source: PA