The couple planned to hold the first ceremony Saturday, then continue on through Malibu, Calif., Detroit, Nashville and other locations through August, Entertainment Tonight.com reported.
"I'm going to get married a few times this month to the same guy," Anderson said at a press conference Wednesday while introducing her online poker Web site, PamelaPoker.com.
Kid Rock, whose given name was Robert James Ritchie, has never been married, but has one son. Anderson was once before married and has three children.
The couple were engaged in April 2002, but split in 2003.
Anderson confirmed reports about their marriage last week in a message on her Web site.
"I'm in love," she said. "I'm happy ... I see the light ... sounds dramatic, but it's true."
Celebrity Families of 2014 [PHOTOS]