From Matthew 1:1-16 we get Joseph's lineage. Being that Joseph was Jesus' legal father, this gives Jesus legal claim to the throne of David. This is Joseph's bloodline.
The book of the generation
of Jesus Christ, the son of
David, the son of Abraham.
Abraham begat Isaac
Isaac begat Jacob
Jacob begat Judah
Judah begat Pha'res
Pha'res begat Es'rom
Es'rom begat A'ram
A'ram begat Amin'adab
Amin'adab begat Naas'son
Naas'son begat Sal'mon
Sal'mon begat Boaz
Boaz begat Obed
Obed begat Jesse
Jesse begat David the king
David the king begat Solomon
Solomon begat Robo'am
Robo'am begat Abi'a
Abi'a begat Asa
Asa begat Jos'aphat
Jos'aphat begat Joram
Joram begat Ozi'as
Ozi'as begat Jo'atham
Jo'atham begat A'chaz
A'chaz begat Ezeki'as
Ezeki'as begat Manas'ses
Manas'ses begat Amon
Amon begat Josi'as
Josi'as begat Jechoni'as
*Jews brought to Babylon*
Jechoni'as begat Sala'thiel
Sala'thiel begat Zorob'abel
Zorob'abel begat Abi'ud
Abi'ud begat Eli'akim
Eli'akim begat Azor
Azor begat Sa'doc
Sa'doc begat A'chim
A'chim begat Eli'ud
Eli'ud begat Elea'zar
Elea'zar begat Mat'than
Mat'than begat Jacob
Jacob begat Joseph
the husband of Mary,
of whom was born Jesus, who
is called the Christ.
"So all the generations from Abraham to David are fourteen generations; and from David until the carrying away into Babylon are fourteen generations; and from the carrying away into Babylon unto Christ are fourteen generations." (Matthew 1:17).
"Now the birth of Jesus Christ was on this wise: When as his mother Mary was espoused to Joseph, before they came together, she was found with child of the Holy Ghost." (Matthew 1:18).