Vincenzo Galeotti was an Italian-born Danish dancer, choreographer and ballet master, who was influential as the director of the Royal Danish Ballet from 1775 until his death.

The Royal Danish Ballet is an internationally renowned classical ballet company, based at the Royal Danish Theatre in Kongens Nytorv, Copenhagen, Denmark. It is one of the oldest ballet companies in the world and originates from 1748, when the Royal Danish Theatre was founded. It was finally organized in 1771 in response to the great popularity of French and Italian styles of dance. The company was founded with the opening of the Royal Danish Theatre, which has served as its home since that time. The Royal Danish Ballet school was founded in 1771 under the leadership of French ballet teacher Pierre Laurent (1730–1807), then Vincenzo Galeotti developed it and August Bournonville founded his methodology for the school.