Put down a drop cloth in a ventilated work area. If you're working in the garage, be sure to open the door to provide adequate ventilation.
Remove the grass catcher if your model has one. Brush off any grass clippings.
Run the engine for a minute or so to warm the oil so it's easier to drain.
Shut off the engine and move the mower to the drop cloth. Disconnect the spark plug wire from the spark plug, which is located at the front of the engine. This is a safety measure to prevent the mower from starting on its own while you're working on it.
Plug the gas tank with a small square of heavy duty plastic or a piece of cloth. Cover the inlet with the plastic and screw on the tank cover. This will provide an extra seal.
Remove the oil cap and dipstick located on the right side of the engine. On some models, the drain plug may be located on the bottom of the mower.
Tip the lawnmower so the oil drains into the oil pan. Keep oil off of the carburetor and gas tank. You don't want to get fuel on the air filter.
Dispose of the oil responsibly. Most recycling centers have hazardous waste material collection areas where you can safely deposit your old oil.