The team did not disclose a cause when it announced the 58-year-old White's death on Friday afternoon.
The longtime defensive end was a member of the "Steel Curtain" defense, which was instrumental in Pittsburgh's winning four Super Bowl titles in the 1970s, and in 2007 was voted to the franchise's 75th season all-time team.
"Dwight White was one of the greatest players to ever wear a Steelers uniform," said chairman Dan Rooney on the Steelers' Web site. "He was a member of the greatest defensive line in NFL history."
White was a fourth-round pick in the 1971 draft out of East Texas State, played for the Steelers through the 1980 season, and was a two-time Pro Bowl selection.
He walked out of a hospital with pneumonia and a lung infection to play in Super Bowl IX against the Minnesota Vikings.