Examine the propane tank for leaks from holes or damage to the line. Make sure there are no dents or rust on your tank. If any of these things are present, replace your tank and hose.
Shut the tank off completely. This will keep the tank from accidentally leaking while not in use. Spiders and insects will be looking for places to nest for the winter and are attracted to the smell of propane, so by shutting the tank off you will keep the critters away.
Cover your tank with a tank cover if leaving it on your RV for the winter. Propane tank covers can be found at camping stores, RV supply stores or even hardware stores. This will keep moisture away.
Close the line from the outside if you choose to remove your tank for the season. You can find a threaded fitted cap at the hardware store to cover the line.
Close off any openings caused by the tank removal to keep unwanted guests out.
Wrap plastic or other material around the burners, closing them off with twist ties or tape.
Store your propane tank in a cool dry place if you are taking it off your RV for the season. Covering your tank is also a good suggestion to keep any unexpected moisture or damage at bay.