Jesus was fully man and fully God and so His faith had to exist on both levels. Regarding Jesus as a man,
we are informed in the Bible that His faith was in God the Father that He had promised that His soul would not be left in hell, neither would His flesh ever see corruption - that was His human faith. Being fully a man, yet being faithful, He willingly gave Himself over to spiritual death and hell to redeem the sin committed under the first testament.
[Psa 16:10 KJV] 10 For thou wilt not leave my soul in hell; neither wilt thou suffer thine Holy One to see corruption.
[Act 2:27, 31 KJV]
27 Because thou wilt not leave my soul in hell, neither wilt thou suffer thine Holy One to see corruption. ...
31 He seeing this before spake of the resurrection of Christ, that his soul was not left in hell, neither his flesh did see corruption.
[Heb 9:15 KJV]
15 And for this cause he is the mediator of the new testament, that by means of death, for the redemption of the transgressions [that were] under the first testament, they which are called might receive the promise of eternal inheritance.
See "by the faith of the Son of God" verse 20 following to satisfy your request
[Gal 20 KJV]
20 I am crucified with Christ: nevertheless I live; yet not I, but Christ liveth in me: and the life which I now live in the flesh I live by the faith of the Son of God, who loved me, and gave himself for me.