The wounded suspect was taken to a local hospital in unknown condition and another suspect was arrested.
It is not yet known if suspects returned fire.
No officers were injured, and police have not said what led to the shooting.
The two armed suspects had allegedly attempted to rob Lawry's The Prime Rib in Beverly Hills at 100 N. La Cienega Blvd. They were unsuccessful, said Todd Johnson from Lawry's. They fled to the Miracle Mile area, with cops right behind them. Officers followed the suspects for more than a mile after they left the restaurant before they confronted them.
"They've been armed in their robberies, they were armed this time, when they made the attempted robbery, they brandished pistols at the employees. These are very dangerous people, and we're very glad they've been arrested and taken off the streets," said Charlie Beck, LAPD Chief of Detectives.
Police said the suspects are believed to be responsible for a string of takeover-style robberies at several business. The bust is the result of a long-term robbery investigation.
Several cars collided near the scene of the officer-involved shooting.
San Vicente Boulevard, Olympic Boulevard and Fairfax Avenue were shut down for hours in both directions as police investigated. Although Olympic was reopened after several hours, traffic was a mess as San Vicente and Fairfax remained closed for most of the day.