The pair, known for their tough stances on immigration and defying the EU, are to have a two hour discussion, with Mr Orban hoping the Visegrad group can build “intensive” ties with Austria.
Mr Kurz lead his conservative party to victory in Austria’s October election striking a deal with the anti-immigration Freedom Party making Austria the only country to have a far-right party in government.
The core of his campaign was his hard stance on immigration.
Posting a video message from the train to Vienna, Mr Orban said: “We would like to make agreements with them. The agreements should deal with migration, protecting Austria and Hungary and helping each other. I hope we manage to succeed.”
The leaders are expected to discuss controversial topics like Austia wanting to sue Hungary over the expansion of its nuclear power plant.
Hungary also feels Mr Kurz plan to adjust family allowances is unacceptable – Hungarian workers in Austria receive around €80 million in family allowances, even though their children live in Hungary. The government in Vienna wants to find an EU-compliant scheme.
Brussels is against the plans, saying: “The country of employment of the parent continues to be responsible for the payment of child allowance and this amount can not be adjusted if the child lives elsewhere.”
Mr Kurz and Mr Orban share a tough stance on immigration and both want a much stronger protection of the EU’s external borders..
Freedom Party leader and Vice Chancellor of Austria Heinz-Christian Strache as said Austria should move away from its usual western European allies like Germany by joining the Visegrad group of eastern European states, which includes Hungary and Poland.
They frequently defy Brussels on issues such as immigration and fundamental rights.
Although Mr Kurz has spent a lot of time in office assuring allies he is pro-EU, he and Mr Strache, favour a smaller EU.
Austria wants to limit the competences of Brussels to core areas such as security policy, he is also keen to ensure Brexit has no financial consequences for Austria as the nation is a net payer
He also recently sided with Visegrad leaders in saying the EU should stop pushing countries to take in quotas of relocated asylum seekers.
Hungarian leader Mr Orban also sided with Visegrad leaders in saying NO to transnational MEP election lists for the European elections next year.
The group argue that “democratic legitimacy of the EU legislative process” can be boosted through “the democratic control by national parliaments”.
Mr Kurz told a joint news conference with German Chancellor Angela Merkel in Berlin earlier this month: “I think we can be a good bridge-builder within the European Union.”