There was speculation that this season might be Scully's last. He suffered a fall back in March that sent him to the hospital.
But Sunday, Scully made his decision public, saying, "When push came to shove, I just did not want to leave."
The team said Sunday he will call all home games and road games against National League West opponents.
Scully blamed himself for the media circus at his announcement, saying he should not have told a writer there was the potential this would be his last year.
"With continued health, we'll do next year," Scully said. "After that, there's a story in the paper that says only Scully knows. That's incorrect. Only God knows."
The 82-year-old said he's honored and humbled to continue his association with the Dodgers, which has been a major part of his life.
Scully has been the only voice of the Dodgers since they moved from Brooklyn. He's called world series titles, no-hitters, perfect games and everything in between.
The Associated Press contributed to this report.