David Ball was from the Barnton area of Edinburgh, Lothian and Borders Police said.
He was taking part in a jump at Strathallan Airfield near Auchterarder in Perthshire yesterday.
A police spokesman said: "Inquiries are continuing today with the assistance from representatives of the British Parachute Association.
"As with all sudden deaths, a full report will be submitted to the Procurator Fiscal."
Tayside Police said officers were called to the site shortly after 1pm.