People who saw the wreck about 12:15 a.m. Sunday pulled the driver, 50-year-old Bruce Pickle of Ferriday, from the water immediately and tried CPR before an ambulance arrived, said Louisiana Department of Wildlife and Fisheries spokesman Adam Einck.
Pickle had been thrown from the boat. Bystanders didn't know someone was under the wrecked pier.
Wildlife agents were called later Saturday with a report that Allen might have been in the boat, and search teams from the department and Concordia Parish Sheriff's Office had to remove the collapsed pier to find Allen's body.
Neither man was wearing a life vest, Einck said.
He said the Concordia Parish Coroner's Office has the bodies for autopsy. Agents don't think alcohol or drugs contributed to the wreck, he said.