Look at the thermostat inside your refrigerator. If the thermostat is set to a very low temperature, your fridge will run constantly just to reach that temperature, and you can solve the problem by moving the thermostat up. Sometimes settings can be changed accidentally, especially if you have recently moved your refrigerator.
If your thermostat is set to the right range but the refrigerator will still not stop running, you may have a problem with the control unit. Your thermostat could be sending the wrong signals to the cooling system. This malfunction can cause the refrigerator to run continually. Call in a professional to see if you need to replace the thermostat or thermometer components.
Temperature control will be a constant issue if your refrigerator has developed a leak. The seal around your refrigerator doors may have failed. The doors themselves could have become bent or warped. This allows the air outside access to the refrigerator. The cooling system runs constantly because your refrigerator is losing the cool air it is cycling into the compartments. Run your hand along the edges of your refrigerator to see if you can feel any cold air streaming out.
The refrigerant lines that your refrigerator uses can also develop leaks. When the refrigerant level drops, the cooling system will not be able to function as efficiently. As a result, it will run continuously trying to keep the compartments within the right temperature range. Call a professional to measure refrigerant pressure.