But the second round will decide the fate of almost one-third of the seats in the next parliament.
Fidesz trounced the Socialists by 53% to 19% in the first round, followed by the far-right Jobbik, and a new Green party called Politics Can be Different.
Its leader, Viktor Orban, is set to become prime minister.
The second round of this election is being fought in 57 constituencies nationwide - all those where no single candidate won more than 50% of the votes in the first round.
Seats in Parliament are distributed according to three lists - individual, territorial and national - so 121 seats out of 386 will be decided in this second round of the election.
Mr Orban has promised the creation of a million jobs in the next 10 years, sweeping tax cuts, and reform of central and local government.
Fidesz hope to win a two-thirds majority in the new Parliament, which would give them the chance to change the constitution.
The Socialists, who have governed for the past eight years, say they created 100,000 jobs, navigated the ship safely through a serious economic crisis, and improved law and order.
BBC News
