2 Timothy 2:11-13
11. This is a faithful saying: For if we died with Him, We shall also live with Him.
12. If we endure, We shall also reign with Him. If we deny Him, He also will deny us.
13. If we are faithless, He remains faithful; He cannot deny Himself.
From these scriptures, we see that God is faithful, which would mean to me that God does have faith, and more specifically, undeniable faith in Himself.