The Columbian singer was awarded the Best Album prize (Fijacion Oral Vol. 1), Best Song and Best Song and Best Record (La Tortura), as well as being named Best Pop Singer.
The Puerto Rican band Calle 13 also had a winning night, earning three awards, including Best New Artist.
Argentinian rock star Gustavo Cerati earned two trophies. Singer Ricky Martin was named Person of the Year for his social aid work benefitting children.
To see a complete list of winners from the Latin Grammy Awards, click here.