ISB ~ Matthew 1 v16
the husband of:The final link in the genealogy breaks with the preceding pattern. Joseph is not called the father of Jesus but only the spouse of Mary. This prepares for the virginal conception of Jesus in 1:18-25. Joseph is, however, the legal foster-father of Jesus and exercises his paternal duty by naming the Child (1:25) and protecting the Holy Family (2:13-22). Following Jewish custom, Jesus received full hereditary rights through Joseph, even though he was adopted (CCC 437, 496).
• In Catholic tradition, the fatherhood of Joseph is also held to be spiritual and real, albeit virginal, just as the Fatherhood of God is spiritual and non-physical.