Kenmore Refrigerator Ice Maker Isn't Making Ice

I had a problem, too. Turned out that the heater that allows the ice to be released was bad and I had to replace the unit.

I had the same problem. A lot of times the hose at the back of the refrigerator has water that feeds to the ice maker that freezes up causing an ice jam. Take a hair blower and thaw the ice blockage up and it should start making ice again.