I believe Antigone blames her father, Oedipus, for her fate. Oedipus practically cursed his family and offspring by marrying his own mother, although he wasn't aware of the fact that she was his mother. He also accidentally killed his own father beforehand, thus cursing his posterity, according to what Antigone believes.
I don't think Antigone was right to put the blame on Oedipus. At the time, he didn't know what he was doing - he never met his parents, so he couldn't even know they were related. Additionally, there is no such thing as a curse, so Antigone cannot blame it for the events that have transpired.
There are several individuals she should be blaming, and I believe those are Creon and herself. If it weren't for Creon and his extremely strict rules, Antigone wouldn't have done what she eventually did, and everyone would still be alive. However, she felt the need to honor her deceased brother by giving him a proper burial, even though it was against the law as he was a traitor.
