Sefydlwyd y Pwyllgor Cyfiawnder Gweinyddol a Thribiwnlysoedd, Cymru (CAJTW) ym mis Tachwedd 2013 fel pwyllgor cynghori anstatudol annibynnol i gynghori Gweinidogion Cymru ar dribiwnlysoedd a chryfhau'r system cyfiawnder gweinyddol yng Nghymru. Sefydlwyd CAJTW yn sgil diddymu’r Cyngor Cyfiawnder a Thribiwnlysoedd statudol (AJTC) gan Lywodraeth y DU , a oedd â Phwyllgor Cymreig (Pwyllgor Cymreig AJTC).Bu CAJTW ar waith tan fis Mawrth 2016, ac fe gyflwynodd ei adroddiad etifeddiaeth (Atodiad 1-Saesneg yn unig)imi a'r Gweinidog Gwasanaethau Cyhoeddus ar y pryd, a oedd yn gyfrifol am bolisi cyfiawnder yn Llywodraeth flaenorol Cymru.
The Committee for Administrative Justice and Tribunals, Wales (CAJTW) was set up in November 2013 as an independent non-statutory advisory committee to advise the Welsh Ministers on tribunals and strengthening the administrative justice system in Wales.  CAJTW was put in place following the UK Government’s abolition of the statutory Administrative Justice and Tribunals Council, which had a Welsh Committee (AJTC Welsh Committee).CAJTW operated until March 2016 and presented its legacy report (Annex 1)to me and the then Minister for Public Services, who was responsible for justice policy in the previous Welsh Government.