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).
Sefydlwyd CAJTW yn sgil diddymu’r Cyngor Cyfiawnder a Thribiwnlysoedd statudol (AJTC) gan Lywodraeth y DU , a oedd â Phwyllgor Cymreig (Pwyllgor Cymreig AJTC).