And he watched an injured Kirk Gibson limp to the plate and hit a heroic home run in another World Series two years later.
"In the year of the improbable, the impossible has happened." - a call Dodgers fans remember to this day.
"I have no idea where that come from, you know?" Scully said. "And that's the fun of it. If you get a good one off once in a while, you know?"
He had an ear for it from an early age, growing up in the Bronx.
"We had a big, old, four-legged radio in the living room of our walkup apartment house, and I would crawl under that radio on a Saturday afternoon. And the crowd would come out of that speaker like water out of a showerhead, and it would just cover me, and then I would think, 'Oh, I would love to be there!'"
It didn't take him long to get there. He was fresh out of Fordham University when Brooklyn's play-by -play man, Red Barber noticed Vin had something special.
"He said, you bring something into the booth, young man, that no one else does,' and I said 'What?' And he said 'Yourself. There's no one else in the world like you.' And I've really kept that all my life."
By age 25, he was announcing a World Series, the youngest to ever do so.
"Good afternoon everybody, this is Vin Scully speaking to you from the Los Angeles Coliseum..."
By the time the Dodgers moved to Los Angeles in 1958 - Vin had settled into his comfortable and reliable style.
Fans would bring their transistor radios to the games - so as not to miss any vintage Vin - and they do the same today.
"He's literally from another generation," said Jimmy Fox. "So it literally is like you are in a time machine every time you hear him broadcast."
He does try to keep up with the times, though. When Dodger catcher A.J. Ellis hit a home run a few weeks ago, Vin asked his fans to take to Twitter.
"So maybe we outta get something trending about AJ Ellis, and if you do that, I'm really cool!"
Within a matter of innings, fans had done Vin's bidding - AJ Ellis was indeed, trending - even if Vin wasn't sure what he had done.
"To be honest with you, they told me to say that. They are trending, Twittering, Tweeting, you name it, about AJ Ellis all over the United States. He's a nice boy."
But as influential as his words are -- he's just as powerful when he's quiet.
"Some of the biggest plays you've called, you stop and just let the moment play," said Cowan.
"Yeah, I can't compete with the crowd," Scully said. "And personally, I would much rather hear the crowd than my own voice. It's very natural for me to shut up . . . upon occasion!" he laughed.