Hungarians have said "yes to Europe" with this vote, says Magyar, BBC reported, Gazeta Express reports.
The new government has a big task ahead, he tells the large crowd, and calls on them to celebrate in peace tonight, before beginning the "healing" of the country tomorrow.
He says his party will work every day to earn the trust it was given with this victory.
Magyar also calls on Viktor Orbán not to take any action between now and his official departure from office that would hinder the work of the new government when it is formed.
He says that the "puppets" of the Orbán government must be removed and state institutions must change.
Checks and balances will be restored, he vows, telling supporters that he will restore Hungarian democracy.
As he speaks, the crowd chants "Europe."
He says Hungary "will no longer be a country without consequences," adding that those who "stole from the country must face consequences."
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