Renner was trying to recover unspecified equipment that had fallen from the bridge earlier in the week. But when the 42-year-old Highlands resident failed to resurface, two people who were with him notified authorities shortly before noon.
His body was recovered about six hours later.
Officials say the area where Renner was diving is filled with debris and known for swift currents, and rescuers had to wait a few hours until they could safely enter the water.
The cause of death was not immediately known.