"Lucifer" is the Latin term originally used by the Romans to refer to the planet Venus when that planet was west of the sun and hence rose before the sun in the morning, thereby being the morning star.
The same planet was called Hesperus, Cesperugo, Vesper, Noctifer, or Nocturnus, when it appeared in the heavens after sunset. Although 19th and 20th century occultists would equate other goddesses such as Astarte, Ashtoreth, Lilith, Isis, Cemeramis, Mari, and Ishtar with Venus, links between the cultures and attributes represented are not historically clear. Lucifer as a personification is called a son of Astraeus and Aurora or Eos, of Cephalus and Aurora, or of Atlas. He is called the father of Ceyx, Daedalion, and of the Hesperides. Lucifer is also a surname of several goddesses of light, such as Artemis, Aurora, and Hecate. 1.
The word appears to have entered the religious lexicon when the Hebrew expression in Isaiah 14:12, "HeYLeL BeN-ShaCHaR." (meaning "bright son of the morning/dawn," "bright [and] morning star," "glowing morning star," or "shining one, son of the dawn.")2. was translated to "Phosphorus" (the Greek word for Venus as the morning star) in the Septuagint, and then translated into "Lucifer" in the Vulgate (from the Greek Septuagint). Isaiah 14, taken as a whole, is a parable, or prophecy of denunciation against the Kings of Babylon, specifically Tiglath-pileser III 3 In verse 12, the prophet characterizes the arrogance of Tiglath-pileser III as if the king had thought himself fit to appear in the sky as the morning star, but has fallen to earth, being brought low by the vengeance of the Lord against those who would exalt themselves and persecute the Lord's people (i.e., the Israelites).
Origenes Adamantius (185 CE - 254 CE), an important Christian scholar of the early Greek Church, and Augustine of Canterbury (d. May 26 604/605 CE), founder of the Christian Church in southern England, both interpreted the use of the term Lucifer as a reference to the Devil.
The name Lucifer was applied to Satan by St. Jerome and later to the demon of sinful pride by Milton in Paradise Lost.
Jesus is the Morning Star, satan is the false morning star.