Finnur Jónsson (16 January 1704 – 23 July 1789) was an Icelandic pastor who served as Bishop of Skálholt from 1754 to 1785.
He attended the University of Copenhagen and became a pastor at Reykholt in 1732.
He was reluctant to become a bishop due to the administrative duties the office entailed.
From 1772 to 1778, he published Historia Ecclesiastica Islandiæ, a four-volume work containing publications of the church in Iceland in Latin.
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