The Coroner's Court does not issue death certificates. The death certificate is a document issued by the NSW Registry of Births, Deaths and Marriages.
Generally your funeral director will assist you in filling out paperwork which will then be sent to Births, Deaths and Marriages. Once this paperwork is sent away, you will be issued with a death certificate within approximately 10 working days. A fee is attached to the issuing of a death certificate.
In relation to missing persons cases, if the Coroner makes a finding of death then the procedure to obtain a death certificate is outlined in the fact sheet titled "Applying for a Death Certificate for a missing person in NSW".
To find out more, visit the Births Deaths and Marriages website.