If you search on this question, you'll find a website that states you can do canning on a smooth top stove (
http://www.pickyourown.org/cannings4glasstop.htm). Your canner cannot exceed the width of your burner by more than 1", so that means you'll have to do smaller batches in something the size of a stock pot. I did jellies and jams on mine last year and had no problem. You also cannot can on a smooth top element that has a thermostat that cuts the burner off and on, as it will not keep the consistent heat needed to kill bacteria. I have one burner that does it and one and does not. Please read this website for further info.