We've been pushing so hard over this time to finally get a pole and it just feels like the first time."
Every session has been up and down," said Verstappen, who had been chasing his sixth pole in a row.
McLaren's Lando Norris qualified third with Australian rookie team mate Oscar Piastri alongside and Alfa Romeo's Guanyu Zhou fifth.
The Australian, a winner in Hungary with Red Bull in 2014, will start 13th with Tsunoda 17th on the grid.
China's Zhou was fastest in the first phase on hard tyres, with Norris quickest in phase two on mediums.
Persons:
Hamilton, Verstappen, Norris, Lewis Hamilton, Max Verstappen, Briton, It's, I've, hoarse, I’ve, We’re, McLaren's Lando Norris, Oscar Piastri, Alfa Romeo's, Zhou, Ferrari's Charles Leclerc, Valtteri, Alfa Romeo, Fernando Alonso, Aston Martin, Red Bull's Sergio Perez, Haas's Nico Hulkenberg, George Russell, Russell, Daniel Ricciardo, Yuki Tsunoda, Red Bull, Ferrari's Carlos Sainz, Alonso pipped, China's Zhou, Alan Baldwin, Frances Kerry
Organizations:
Hamilton, Australian, Alfa, Aston, Verstappen, Miami, Tsunoda, Christian, Thomson
Locations:
Hungary, Hungarian, Saudi Arabia, Japanese, London