The veteran BBC radio broadcaster, who was one of the most familiar voices on the airwaves in the UK, died at the age of 69 in February.
The causes of death were acute peritonitis and a perforated gastric peptic ulcer, the certificate obtained by the BBC.
The Metropolitan Police previously said Wright’s death at a flat in the Marylebone area of central London “was unexpected, but is not being treated as suspicious”.
It was previously confirmed no inquest will be held into Wright’s death.
Westminster Coroner’s Court said in a statement in May: “An inquest will not be required for Mr Wright.
“The coroner has now discontinued this case.”
