Hood was elected Rector (head) of Lincoln College, Oxford in 1621, a post he held until 1668. The Rector's Lodgings at Lincoln College were enlarged for Hood since he was the first Rector at the college to marry.
Paul Hood was a Puritan sympathiser. After the surrender of Oxford on 24 June 1646 during the English Civil War, Oxford University underwent a parliamentary visitation, starting from 15 May 1647. The visitation was resisted by many at Oxford, but not by Hood. He was the only Head of a College at Oxford to submit to the visitors when members of Convocation were asked to do so on 7 April 1648. Despite complying, however, Lincoln College had lost all its old fellows by 1650 under the Commonwealth of England. With the restoration of King Charles II to the throne in 1660, he was made Vice-Chancellor of Oxford University from 1661 until 1662 since he was the only Head of a College recognized as being valid by a Royal Commission. Hood died on 2 August 1668.
- Salter, H. E.; Lobel, Mary D., eds. (1954). "Lincoln College". A History of the County of Oxford: Volume 3: The University of Oxford. Victoria County History. pp. 163–173. Retrieved July 17, 2011.
- "Previous Vice-Chancellors". University of Oxford, UK. Retrieved July 23, 2011.
- "Vice-Chancellors from the year 1660". The Oxford University Calendar. University of Oxford. 1817. pp. 27–28. Retrieved July 23, 2011.
- à Wood, Anthony (1786). Gutch, John (ed.). The History and Antiquities of the Colleges and Halls in the University of Oxford. 3. Clarendon Press. p. 242.
| Rector of Lincoln College, Oxford
| Vice-Chancellor of Oxford University
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- University of Oxford (1888). "Vice-Chancellors". The Historical Register of the University of Oxford. Oxford: Clarendon Press. pp. 21–27. Retrieved July 24, 2011.