Richard Arthur c. 1560–4 May 1646) was an Irish Roman Catholic prelate who was Bishop of Limerick from 1623 to 1646.

He left public service after the death of his eldest brother and managed the family business.

Despite the difficulties the Confederate period was one when Catholics could function open and freely so Arthur was able to welcome Capuchins and Jesuits to Limerick.

During this period the Papal Legate Archbishop Rinuccini was able to visit Limerick and assess the situation.

Rinuccini was in Limerick in 1646 when Arthur died and he describes his death in his memoirs, the Commentarius Rimiccinianus.