Brown, 22, is 7-foot-2 and finished last season with the Cavaliers after starting with the Mavericks. He averaged 4.3 points and 3.4 rebounds in 40 games overall. He became an unrestricted free agent at the end of last season.
Now, Brown will split his time between Los Angeles and the Ontario Clippers. Two-way players can appear in up to 50 NBA games before their contract must be converted to a standard deal.
Along with the Cavs and Mavericks, Brown has also spent time with the Trail Blazers, appearing in 92 games overall since entering the NBA in 2019.