The Washington-based Death Penalty Information Center says Alverson was the first person to be executed in the U.S. in 2011.
Alverson was among four men convicted in the February 1995 killing of 30-year-old Richard Yost, who was the night manager of a convenience store in Tulsa. His body was found bound and beaten on the blood-soaked floor of the store's cooler.
In his last statement, Alverson apologized to Yost's family and asked for forgiveness, then told his own family "I'm alright."