Luciana Damon, Matt Damon, and their daughters at the “The Odyssey” premiere on July 06, 2026. Credit: Karwai Tang/WireImage Matt Damon shares four daughters with his wife, Luciana Barroso Damon. Alexia Barroso was born in 1999 to Luciana and her first husband, Arbello. Alexia met Damon when she was four. After marrying in 2005, the couple welcomed Isabella in 2006, Gia in 2008, and Stella in 2010.