Driving to the Grand Teton National Park in your car or RV is the best and most trouble-free way of getting here.
You can also use the shuttle services usually available from Salt lake City, Utah or from Idaho Falls and Pocatello in Idaho. These will take you as far as the town of Jackson situated south of the Grand Teton National Park.
Flights are available to the Jackson Hole Airport in Wyoming and the Idaho Falls Regional Airport, Idaho. These airports are closest to the park.
Taking the Car:
If you are coming in from the North, take the U.S Highways 89,191,287 towards the Grand Teton Park, via the Yellowstone National Park. However you may find this route closed due to excessive snow from November to April.
Coming in from the South, you may also take the US 26/89/191 to Jackson and make your way from there using the shared road.
The US Highway 26 connects the Park to Dubois and Crowheart from the East. Just continue on to US 26/287 over Togwotee Pass and take the US 26/89/191 to Jackson and make your way to the Grand Teton National Park from there.