I have a smooth glass top range. I haven't done any serious canning since I got it and from what I've read, it could pose a problem. You have to have the heat so high for so long that heat can build up under the canner and maybe crack the glass. Google your question, several times with different wording. I've found good food for thought many times that way. If you are lucky you will find some boards or blogs where this is discussed. Also, ask at the appliance store. Good luck. BTW, I do love my glass top, and I moved away from my large garden area so don't need to can any more anyway.