14 And it came to pass that my father, Lehi, also found upon the plates of brass a genealogy of his fathers; wherefore he knew that he was a descendant of Joseph; yea, even that Joseph who was the son of Jacob, who was sold into Egypt, and who was preserved by the hand of the Lord, that he might preserve his father, Jacob, and all his household from perishing with famine.
15 And they were also led out of captivity and out of the land of Egypt, by that same God who had preserved them.
16 And thus my father, Lehi, did discover the genealogy of his fathers. And Laban also was a descendant of Joseph, wherefore he and his fathers had kept the records.
Lehi's lineage is also mentioned in Jacob 2:25 and Alma 10:3. It is interesting to me that Lehi names the two sons who were born to him after this event Jacob and Joseph.
See also 2 Nephi 3:4-5. In this chapter Lehi tells Joseph about the significance of his name, and other Josephs who will play a role in the covenant of God with the House of Israel.