Freddie Freeman also pulled off his own version of three in a row.
The Dodgers first baseman has now hit three home runs in three consecutive World Series games against the Yankees.
The first was the historic blast that took Game 1 in the 10th inning, the first World Series game to end on a walkoff grand slam. The second was a solo shot in Game 2 to put the Dodgers up 4-1 by the third inning.
Monday, Freeman opened up Game 3 with another big at-bat, sending a shot 355 feet into right field and bringing Shohei Ohtani home to make it 2-0 in the first inning.
After that, starter Walker Buehler and the bullpen nearly blanked the Yankees.
The Dodgers were one out from the 4-0 shutout when Alex Verdugo connected off a Michael Kopech fastball for a two-run blast to make things tight again.
But then Gleyber Torres grounded out to end the game and bring the Dodgers just one win from a world championship.
Freeman has now batted in seven runs in three games - as much as the entire Yankees roster has scored in the series.
Dating back to his time in the 2021 World Series with the Braves, Freeman has now hit home runs in five consecutive championship games. Only one other player, George Springer, has accomplished that, according to MLB.
He also has tied a record for homering in the first three games of a World Series. The feat has also been accomplished by the Giants' Barry Bonds in 2002 and the Yankees' Hank Bauer in 1958.
Interviewed after the game Freeman shrugged off the accomplishments.
"When it's all said and done I can look at that. But the most important thing is one more win. That's all I care about now."
In the third, Mookie Betts dropped a single to right field, sending Tommy Edman home from second.
A short time later, starter Clarke Schmidt walked Max Muncy to load the bases, and was pulled after having pitched just three and two-thirds innings.
With a full count, Will Smith tapped one straight to reliever Mark Leiter Jr. at the mound to end the third with three stranded.
In the sixth, a Kiké Hernández single to center sent Gavin Lux home - after he walked and stole second - to make it 4-0.
Game 4 is Tuesday in New York at 5:08 p.m.
The Associated Press contributed to this report.