Is anxiety hereditary?

Anxiety. Yes and no. Some families are predisposed to anxiety by virtue of either genetic association or, more likely, social learning theory, wherein behavior is learned by watching and observing. An anxious approach, reaction, or manner to situations may be "contagious.".
Does run in families. Research has provided evidence that anxious temperament may be inherited and this temperament is a risk factor for the development of anxiety (and for depression and substance abuse as well). In addition, a recent study found that brain metabolism, in specific brain areas, accounts for a significant portion of the inherited risk of developing extreme anxiety.