"We'll release it when we believe there's a compelling reason to," Charlotte-Mecklenburg police Chief Kerr Putney said Thursday at a news conference.
Authorities are working to honor a request made by the family of 43-year-old Keith Lamont Scott to see the video.
Officers said Scott was armed and posed a threat, although Putney said video of the encounter failed to definitively show that Scott was pointing a gun at anyone.
Calls for police to release video of the shooting have ratcheted up amid protests against police violence. North Carolina has a law that takes effect Oct. 1 that requires a judge to approve releasing police video.
Scott was fatally shot Tuesday by Charlotte-Mecklenburg police Officer Brentley Vinson, who was not in uniform or wearing a body camera. Three other uniformed officers who were on the scene had body cameras on, according to police.
Both Vinson and Scott are black.
Putney said additional information on the investigation will be released Thursday afternoon.
The Associated Press contributed to this report.
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