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.
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.