Ronaldo made history as his four goals led European champions Portugal to a 5-1 rout of Lithuania in Tuesday's Group B clash in Vilnius.
The five-time Ballon d'Or winner became the all-time leading scorer in European Championship qualifiers after improving his tally to 25 goals, surpassing Robbie Keane.
Juventus superstar Ronaldo also took his international record to 93 goals after scoring his eighth hat-trick for Fernando Santos' Portugal.
🇵🇹 Cristiano Ronaldo = Europe's all-time top international scorer 👏#EURO2020— UEFA EURO 2020 (@UEFAEURO) September 11, 2019
Ronaldo – who is on the final shortlist for FIFA's The Best award – was asked about his chances of winning a sixth Ballon d'Or and the 34-year-old said: "As I always say, I don't live thinking about individual prizes.
"This is a consequence of what we collectively won. But it's good, I won't lie. The important thing was to help the team.
"I scored a goal against Serbia and four here and I'm very happy We have to dismiss this moment and what I want most is to continue like this."
Ronaldo scored 21 Serie A goals last season – and 28 in all competitions – as Juventus won an eighth consecutive Scudetto.
This season, Ronaldo has already scored once for Juventus, who are level on points with Inter and Torino atop the Serie A table.