The women made their claims to The Washington Post, and three went on the record with their allegations. Five other women made similar allegations to The Washington Post.
Rose had previously described sexual harassment as a "terrible thing" that needed more exposure - but now faces a string of allegations himself.
This post was updated after PBS announced it was dropping the show.
PBS, which has aired the show since its 1991 debut, replaced Monday's scheduled edition of Charlie Rose with an episode of Antiques Roadshow.
On Tuesday morning's show, co-hosts Norah O'Donnell and Gayle King addressed the matter in frank detail.
"Most of the women said Rose alternated between fury and flattery in his interactions with them".
Several "described Rose putting his hand on their legs, sometimes their upper thigh". PBS and Bloomberg have also suspended him.More news: Magnitude 5.4 natural disaster strikes city of Pohang + 'Dispatch' photos of quake aftermath
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Rose said in a statement that he "deeply apologized" for what he admitted was "inappropriate behavior". I am greatly embarrassed.
'I have behaved insensitively at times and I accept responsibility for that, though I do not believe that all of these allegations are accurate.
Golodryga's report featured an interview with Amy Brittain, one of the Post reporters. About two dozen spoke with the paper on the condition of anonymity. PBS said it hasn't yet considered what will replace the show; the service is providing member stations reruns of programs like "This Old House" and "Finding Your Roots" to fill holes in their schedule this week.
He said: 'In my 45 years of journalism, I have prided myself on being an advocate for the careers of the women with whom I have worked. 'I never witnessed any unprofessional incidents'.
The co-hosts on Charlie Rose's "CBS This Morning" did not hold back while discussing the news anchor's alleged sexual harassment of at least eight women to date.
For her part, Vega, in a statement to the Post, said she should have protected the young women. Oprah called me and said, 'Are you okay?' I am not okay. "It is crushing. I deeply regret not helping them".
I'm deeply disappointed and angry that people were victimized-and that even people not connected with these events could see their hard work undermined.