Tickets go on sale 10 a.m. Pacific time Friday. They cost $63 to $193, excluding taxes and fees; you can buy them from Ticketmaster or by calling (800) 745-3000.
The October dates at Planet Hollywood will be the only appearances in the West for Starr, 76, and the group that formed in 2012.
Concerts are scheduled for Oct. 13, 14, 17, 20, 21, 24, 27 and 28. All shows begin at 7:30 p.m.
During its 11-city tour, the group also will perform in El Paso, Austin and Sugarland, Texas; Thackerville, Okla.; Fort Lauderdale, Fla.; Atlanta; Norfolk, Va.; Morristown and Newark, N.J., and New York City.
As part of the Beatles, Starr, who was named Richard Starkey, played with George Harrison, John Lennon and Paul McCartney.