People reports those assembled broke out into spontaneous applause when the couple - who were first linked together in October 2013 - were declared man and wife during the 30 minute ceremony.
Nora Sagal, the daughter of friends, sang Irving Berlin's Always, the same song George's parents Nick and NIna danced to at their wedding, while Cole Porter's Why Shouldn't I? was chosen for the first dance at the reception.
Both sets of parents are thrilled by the union with Amal's mother Baria Alamuddin opening up to People about the special day.
She gushed: "George and Amal radiated love all night," while George's father Nick Clooney gave a heartfelt speech about his one-time confirmed bachelor son and his new bride.
He said: "George and Amal present us with ... belief that in this place and at this moment, love is alive and well."
George revealed they always planned to marry in Italy as that is where the couple first met and it holds special memories for them.
People reports that guests were gifted with iPods which held playlists chosen by George and Amal.
Amal wore her long dark hair loose over her shoulders with a stunning veil for her big day.
Her dress was hand-embroidered with pearls and diamanté and featured a large circular train.
On Monday as many of their guests left the city, George and Amal made a trip to Venice City Hall where they made their union official with a 10-minute, €600 civil ceremony.
