Spain were worried at moments against Georgia but, in the end, their leading stars proved decisive in a brilliant performance.
They dominated early on, but the Georgians took the lead with their first attack after a flowing move, finished off with yet another Euro 2024 own goal, the eighth of the tournament.
Spain drew level with the man for the big moment, Rodri, scoring from just outside the area. Then their 16-year-old wonderkid Lamine Yamal set up Fabian Ruiz to head in the winner.
Nico Williams, another of their leading stars to have made them the tournament favourites, scored a devastating third before Dani Olmo completed the win.
The Georgians looked dangerous at times, as they have throughout the tournament, and will head home having given an excellent account of themselves in Germany.
Spain now face the hosts in the quarter-finals.