Pastor Alistair Begg from Parkside Church in Cleveland invited the 71-year-old to the stage to deliver his testimony.
The Welcome to My Nightmare rocker told worshippers that Christianity "got a hold of my life and turned me upside down, which was really to turn me the right way up".
Cooper decided it was time to change his rock-star lifestyle nearly 40 years ago, when he found himself throwing up blood, which he says saved him from alcoholism
"I went as far away as I could," Cooper said from the pulpit, standing beside his wife of 40 years, Cheryl.
"And of course I became an alcoholic, I became a drug addict. Cheryl lived through that with me.
"It doesn't matter how many drugs I take, I'm not fulfilled. This isn't satisfying.
"There's a spiritual hunger going on. Everybody feels it. If you don't feel it now, you will. Trust me. You will...Drinking beer is easy. Trashing your hotel room is easy. But being a Christian, that's a tough call. That's the real rebellion."
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