The letter to the Hebrews is written
Hebrews 1:1–4; 10:32–34; 13:22–24
An unnamed teacher wrote to Jewish believers tempted to turn back, showing that Jesus is greater than the angels, Moses, and the priests of Aaron, and that his one sacrifice has fulfilled the whole sacrificial system.
God, having in the past spoken to the fathers through the prophets at many times and in various ways, has at the end of these days spoken to us by his Son, whom he appointed heir of all things, through whom also he made the worlds.
Hebrews 1:1–2 (World English Bible)
Hebrews speaks of the temple sacrifices as still being offered (Hebrews 10:1–2), which suggests it was written before the temple was destroyed in AD 70. Its great chapter on faith (Hebrews 11) runs from Abel to the Maccabean martyrs.
Places
Dating notes
Probably AD 60–69. The author isn't named; the Eastern church and Ussher attributed it to Paul (Ussher dates it AD 64), while others have suggested Barnabas, Apollos, or Luke. The date is an estimate; Scripture doesn't say when the book was written.