Some airlines will allow you bring your cat aboard as a "carry-on" in a soft-sided carrier.If that is not an option choose an airline that provides safe and humane handling for traveling pets.
Never put your cat into a hot car or leave her there unattended for any length of time!
If you will be driving a long distance you will need to bring along food, water, and a litter box for the cat.
For long trips, ask your veterinarian about medication to calm or sedate the cat to make her more comfortable.
If you will be traveling out of the state or country you should check with your local health department to see if a health certificate or other documentation is required for the cat.
Leave the open carrier sitting out so that she can explore it on her own.
Place catnip or treats in the carrier to get her to look inside.
When the cat is riding in your car, turn the stereo down to a low volume, roll up the windows and turn on the air vents to keep it cool inside.
Too much noise from the stereo or the road will frighten the cat.
Check with the airline to see what is required for your cat's flight.