"Paul isolated an outstanding fact respecting Melchizedek, in saying of him: `In being fatherless, motherless, without genealogy, having neither a beginning of days nor an end of life, but having been made like the Son of God, he remains a priest perpetually.' (Heb 7:3) Like other humans, Melchizedek was born and he died. However, the names of his father and mother are not furnished, his ancestry and posterity are not disclosed, and the Scriptures contain no information about the beginning of his days or the end of his life. Thus, Melchizedek could fittingly foreshadow Jesus Christ, who has an unending priesthood. As Melchizedek had no recorded predecessor or successor in his priesthood, so too Christ was preceded by no high priest similar to himself, and the Bible shows that none will ever succeed him." - "Melchizedek", Par 7, Insight.
For more, see:
MELCHIZEDEK (Insight-2 pp. 366-367; Watchtower Online Library)
MELCHIZEDEK - Links to Information (INDEX; Watchtower Online Library)