Baron Wrenbury, of Old Castle, Dallington in the County of Sussex, is a title in the Peerage of the United Kingdom. It was created in 1915 for the barrister and judge Sir Henry Buckley. He served as a Judge of the High Court of Justice and as a Lord Justice of Appeal. As of 2014^[update] the title is held by his great-grandson, the fourth Baron, who succeeded his father in 2014. The Hon. Sir Denys Buckley, younger son of the first Baron, was also a Judge of the High Court of Justice and Lord Justice of Appeal.

The heir presumptive is the present holder's second cousin Arthur Burton Buckley (b. 1967), whose heir is his son Adam Burton Buckley (b. 1997)