He is 'seeking revenge for' his father's murder. [=he wants to harm the person who killed his father]
He swore to 'take (his) revenge on' his enemies. [=to harm his enemies]
The bombing was 'in revenge for' the assassination of their leader.
(..) Let show that human what happen when he messed with Sabers. Alert the troops. We attack at dawn. And Diego, bring me that baby. Alive. If I'm gonna enjoy my revenge, I want it to be fresh. I'm wiped out. That's your shelter? You're a big guy. You got a lot of woods. I'm a little guy. (..)2002 Ice Age