Most of the time when angels are mentioned in the Bible, their names are not given. Apparently, their names aren’t important; their message is what matters.
However, the names of four angels are mentioned:
Michael: The only archangel in the Bible is Michael. Jude reveals Michael argued with Satan about the body of Moses. Later, in Revelation, Michael leads his army of angels in a battle against the dragon. Michael is also mentioned in the book of Daniel, although here he is not called an angel, but “one of the chief princes,” “your prince,” and “the great prince.” In these instances in Daniel, Michael is referred to by another supernatural being, who may or may not be an angel.
Gabriel: Also appearing in both the Old and New Testaments of the Bible, Gabriel arrives with messages for Daniel, Zechariah, and Mary. He is only mentioned these three times.
Raphael: Raphael makes his appearance in the book of Tobit, which is one of the apocryphal books of the Bible. He is mentioned twenty-nine times, in this one book. Raphael appears to Tobias in the form of a man. Whereas most angels merely communicate God’s message, Raphael accompanies Tobias on his quest, offering advice and encouragement, perhaps even being an instrument of healing for Tobias’s father, Tobit, and Tobias’s wife, Sarah.
Uriel: Another apocryphal angel is Uriel, he is mentioned by name only five times, in the book of 2 Esdras. He comes to the prophet Ezra with messages from God. At one point he holds Ezra’s hand and comforts him.
In addition to the above, all four angels appear in a single verse in Enoch 9:1. In Enoch chapter 10, God gives each one of them an assignment in the pre-flood world. Notably, Uriel is sent to give Noah a message of the coming flood, Enoch 10:2. Several other angels are also named in the book of Enoch.
And in 2 Esdras 4:36, we learn of another archangel, Jeremiel.