During production of Disney's original Beauty and the Beast film it is said that the production team was so busy that they forgot to give "the Beast" a name, however in multiple Disney licensed projects after the film came out in 1991 he has been given the name Prince Adam including on a plaque in Walt Disney World’s Port Orleans Riverside Royal Rooms that states his name is Adam. Supervising animator Glen Keane said he kept a quote from the Bible with him while animating the Beast’s transformation, which would have influenced the decision of naming him Adam.

More Info: screenrant.com