The King James Bible addresses healing in several passages:
Isaiah 53:5 (KJV)
5 But he was wounded for our transgressions, he was bruised for our iniquities: the chastisement of our peace was upon him; and with his stripes we are healed.
James 5:14-15 (KJV)
14 Is any sick among you? let him call for the elders of the church; and let them pray over him, anointing him with oil in the name of the Lord: 15 And the prayer of faith shall save the sick, and the Lord shall raise him up; and if he have committed sins, they shall be forgiven him.
Psalms 103:2-3 (KJV)
2 Bless the LORD, O my soul, and forget not all his benefits: 3 Who forgiveth all thine iniquities; who healeth all thy diseases;
Jeremiah 17:14 (KJV)
14 Heal me, O LORD, and I shall be healed; save me, and I shall be saved: for thou art my praise.
1 Peter 2:24 (KJV)
24 Who his own self bare our sins in his own body on the tree, that we, being dead to sins, should live unto righteousness: by whose stripes ye were healed.