The ad, titled "Never Quit," replaces the emotional spot featuring the story of Biden's personal experience with tragedy after the death of his first wife, Neilia, and 1-year-old daughter Naomi in a 1972 car crash.
That ad was released last week and slated to air before the Democratic debate. But Draft Biden pulled the ad after an aide to the vice president expressed Biden's desire for the ad not to run, saying it tread on "sacred ground."
"Nobody has more respect for the vice president and his family than we do. Obviously, we will honor his wishes," Josh Alcorn, a senior adviser to Draft Biden, said.
The new ad, which is part of a $250,000 national cable ad buy, features the vice president's own words from a speech about the resilience of America.
"It's about being able to look your child in the eye and say, 'Honey, it's going to be ok,' and mean it and know it's true," the vice president says as pictures of Americans play across the screen. "You never quit on America and you deserve a president who will never quit on you."
The ad ends with the words, "Joe, Run."