Radmanovic signed a one-year deal, the team announced Thursday.
Radmanovic's addition gives the Bulls a fallback plan if the organization decides not to match the three-year, $25.1 million offer sheet the Houston Rockets agreed to with restricted free agent Omer Asik. Asik is expected to sign the offer sheet later this week. The Bulls would have three days to decide to match.
The Radmanovic news comes a day after Darko Milicic's agent Marc Cornstein confirmed to ESPNChicago.com the Bulls were one of four teams interested in signing his client.
Radmanovic, an 11-year veteran, has averaged eight points and four rebounds per game during his career. He averaged 4.5 points and three rebounds per game for the Atlanta Hawks last season.