ESPN was first to report the teams had agreed to the deal. All the reports cited unidentified sources.
The Nets would send guards Anthony Morrow, Jordan Farmar and DeShawn Stevenson and forwards Jordan Williams and Johan Petro to the Hawks, along with a draft pick Brooklyn received from Houston. The selection only belongs to the Nets if it is not a lottery pick.
Johnson has four years and $90 million left on his contract.
The Nets are also trying to re-sign free agent point guard Deron Williams.
The franchise is set to play its first season in a newly built arena in New York after moving from New Jersey.
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