The 62-year-old rocker was released from jail after he posted bail, Sky News reported.
Wood has been involved with Russian gal pal Ekaterina Ivanova since the pair met last year at a London club where the then-20-year-old busty blonde stunner was working as a cocktail waitress, according to Sky News.
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Wood split from his wife of 24 years last year. The pair has two children together.
Ivanova told Grazia magazine in February that she wanted to start a family with the rock legend.
"Maybe it would be nice, but not for at least 10 years," she said. "I'm young, so I definitely don't want a baby yet. And Ronnie's a great dad, but I don't know if he'd want any more."
A rep from the band told Fox News that the Stones would not be releasing a statement but confirmed Woods had been arrested, according to Fox.