The Nets agreed to send a future second-rounder to the Clippers in the deal. Brooklyn will use its $3 million trade exception to make the deal work.
Evans' contract will be for three years and $5 million, Yahoo! Sports reported.
Evans, 32, averaged 1.9 points and 4.8 rebounds in 56 games for the Clippers last season.
Mike Mazzeo is a regular contributor to ESPNNewYork.com.