William Parr Greswell (1765–1854) was an English clergyman and bibliographer.
He was ordained on 20 September 1789 to the curacy of Blackley, near Manchester, and succeeded on 24 September 1791 to the incumbency of Denton, also near Manchester, on the presentation of the first Earl of Wilton, to whose son he was tutor.
Greswell educated his own seven sons, five of whom went to Oxford and won high honours.
His other sons were Charles, a medical man, and Thomas, master of Chetham's Hospital, Manchester.
His large library was sold at Sotheby's in February 1855.