Anonymous has explained it very well. God cannot die. I think you must be referring to Jesus´ sacrifice, right? But that tells us that God´s Son died, and not Almighty God Himself, Jesus´ Father.
That is easy to realize when we remember that God gave life to Adam. Adam lost that life. A propitiatory sacrifice was needed, not from God, but to be presented before God. Hebrews 9:23-24 clarifies on that: "But the heavenly things require far better sacrifices. For CHRIST did not enter into a holy place made with hands which is a copy of the reality, but into heaven itself, so that he now appears BEFORE God on our behalf." (Caps are mine) Yes. Jesus was the "far better sacrifice" needed before God.
Again, a sacrifice was needed to be presented BEFORE God, not from God. I think we can compare it to a court of law: if a judge sets the bail, does the very judge pay for the bail?