The actress and activist tells the German edition of Vanity Fair that the Democratic contender for president comes down on the same side of several issues that she does.
Asked if she finds Obama and his background an example to her family, she replies, "Naturally that's good, but it's not a sufficient reason to vote for him.
"Obama fights for international justice, he wants to militarily intervene in cases of genocide, and close Guantanamo Bay. These are the things that could move me to vote for him, not his roots."
She then adds, "Naturally, an American president like Barack Obama would be nice for my family."
Jolie and actor Brad Pitt are parents to six children, three of whom were adopted from other nations — Cambodia, Ethiopia and Vietnam.
Obama's family similarly has members from different countries: his mother is American and his late father was Kenyan.
Jolie's father, Jon Voight, has campaigned for Republican candidate John McCain.