HM Courts & Tribunals Service is responsible for the administration of criminal, civil and family courts and tribunals in England and Wales.

https://www.gov.uk/government/publications/order-a-transcript-of-court-or-tribunal-proceedings-form-ex107
https://assets.publishing.service.gov.uk/ government/uploads/system/uploads/ attachment_data/file/807467/ex107-gn-eng.pdf

Scottish Courts and Tribunals is responsible for the administration of courts in Scotland.

https://www.scotcourts.gov.uk
https://www.scotcourts.gov.uk/the-courts/supreme-courts/high-court/contact-the-high-court

Transcripts (Applications for transcripts of proceedings)

0131 240 6903