The father of the Choice Seer is not named in the Book of Mormon and appears only by implication in the prophecy of 2 Nephi 3. There Lehi recounts a blessing on his son Joseph, quoting an older prophecy attributed to Joseph of Egypt: the Lord would raise up a choice seer from the fruit of Joseph’s loins, who would be esteemed highly among his brethren and bring forth the Lord’s word to the house of Israel (2 Nephi 3:6-7).
The only detail the text supplies about the seer’s father is the seer’s name. Joseph of Egypt prophesied that the seer’s name “shall be called after me; and it shall be after the name of his father” (2 Nephi 3:15) — so the seer and his father would share the name Joseph. Latter-day Saint tradition identifies the seer as Joseph Smith Jr. and his father, named in records outside the Book of Mormon, as Joseph Smith Sr.