Berrettini, who was playing his first-ever ATP final, needed one hour and 45 minutes to defeat Bautista Agut, world No. 17, and deprive the Spaniard of his third title this season, after his wins in Dubai and Auckland, reports Efe.
"I'm really happy, I have to stay focused because of the doubles (final) and not think about this, but I am really happy," Berrettini, 22, said after the match.
Bautista Agut lost his big chance in the first set, when he needed just two points to beat Berrettini, who has not dropped his serve during the whole tournament.
Unseeded Berrettini defeated three seeded opponents in this tournament, although he had previously never reached a quarterfinal round.
Following his loss, Agut said: "I want to congratulate Matteo. He played a great week and he has a great future in front of him. He deserved to win today."
Later Sunday, Berrettini is to play alongside fellow Italian Daniele Bracciali in the Swiss Open men's doubles final against Igor Zelenay of Slovakia and Denys Molchanov of Ukraine.
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