1 Corinthians 6:19-20:

What? know ye not that your body is the temple of the Holy Ghost which is in you, which ye have of God, and ye are not your own?
For ye are bought with a price: therefore glorify God in your body, and in your spirit, which are God’s.

Notes on 1 Corinthians 6:19-20:

Because your body is the temple of the Holy Spirit, is the Holy Spirit glorified by a sick temple that does not function properly?  Is that any testimony to His quickening power toward our mortal bodies?  Of course not.  God takes your body very personally.  It is not only His temple, but He bought it with a price along with your spirit.  It is HIS.

I realize that Paul was primarily talking about glorifying God by keeping your body out of fornication, but there is another application to the truths in these verses.  Because sickness does not glorify God, and your body is to glorify God, it logically follows that your body should not have any sickness in it.  Surely God does not want your body to only glorify Him when it comes to abstaining from sins but then to fail to glorify Him when it comes to your health.

See also:

Your Body Is God’s Property
Say What
Delivered!
YOU Can Be Healed
Who You Are and What You Have
Why You Don’t Have to Touch Jesus as He Passes By
Healing and Effort
Read This If You Don’t Understand Healing
Objection: 1 Corinthians 6:19-20 Is About Avoiding Fornication and Should Not Be Used as a Healing Proof Text
Objection: Our Bodies Are Not Yet Redeemed, So We Are Still Subject to Sickness
Objection: God Wouldn’t Heal Paul's Thorn in the Flesh
Objection: Paul Left Trophimus at Miletum Sick Instead of Healing Him
Objection: Paul Did Not Believe in Faith Healing Because He Had a Doctor (Luke) Accompany Him
Objection: Paul Told Timothy to Drink Wine Instead of Believing God for Healing
Objection: The Apostles Never Said, “By His Stripes You Were Healed” When They Preached Christ
Objection: Paul Said That the Entire Creation (Which Includes YOU) Groans and Travails in PAIN (Romans 8:22)