The 48-year-old had just finished a routine with partner Jonathan Roberts and fainted during judges' comments.
The ABC programme cut to a commercial break as she recovered, and when the show returned, host Tom Bergeron told viewers she was fine.
The US version of Strictly Come Dancing is currently drawing regular audiences of up to 35 million people.
'Stop breathing'
ABC spokeswoman Amy Astley said: "She was laughing and then sank like a stone. Everyone froze."
Bergeron said: "I want to just quote her exactly. The first words out of her mouth when she saw us all leaning over her were, 'Oh, crap.'"
Osmond, part of the famous singing family, was well enough to be awarded seven marks from each of the four judges for the routine.
She explained later in the programme that "once in a while that happens to me when I get winded. I stop breathing."
The singer was expected to be given a medical examination as a precaution.
The US and UK versions, which are currently airing alongside each other, both feature Len Goodman and Bruno Tonioli on the judging panel.
The latest celebrity to be voted off the BBC show was former snooker player Willie Thorne.
Heather Mills took part in a season of the US programme earlier this year, making it to the sixth week.
The ABC programme cut to a commercial break as she recovered, and when the show returned, host Tom Bergeron told viewers she was fine.
The US version of Strictly Come Dancing is currently drawing regular audiences of up to 35 million people.
'Stop breathing'
ABC spokeswoman Amy Astley said: "She was laughing and then sank like a stone. Everyone froze."
Bergeron said: "I want to just quote her exactly. The first words out of her mouth when she saw us all leaning over her were, 'Oh, crap.'"
Osmond, part of the famous singing family, was well enough to be awarded seven marks from each of the four judges for the routine.
She explained later in the programme that "once in a while that happens to me when I get winded. I stop breathing."
The singer was expected to be given a medical examination as a precaution.
The US and UK versions, which are currently airing alongside each other, both feature Len Goodman and Bruno Tonioli on the judging panel.
The latest celebrity to be voted off the BBC show was former snooker player Willie Thorne.
Heather Mills took part in a season of the US programme earlier this year, making it to the sixth week.