Ports of entry are Czech Republic, Hungary, Austria, Poland, Germany, and the Ukraine. Unfortunately, there is no international flights to Slovakia from the US. You will have to take a flight to one of the countries near it, then get a connecting flight to Slovakia. If you are feeling a little adventurous, you can try a land route after landing in one of the international airports in Central Europe.
Some of international carriers that land near Slovakia are Austrian Airlines, Lufthansa, and Czech Airlines. There are other smaller airlines or charter planes that you can avail of if you desire.
If you plan to travel to Slovakia by land, there are many car rental companies in international airports, including some Slovak car rental companies. Going in by car is the more scenic route because you can appreciate the beauty of the surroundings.
The railway is another option, and fortunately, Slovakia has a fairly decent and modern railway system, including an electric train that travels to the High Tatras.
From Vienna, Budapest, and Prague you can get a train to Slovakia. Tourists enjoy this route more because of the first class amenities such as roomier coaches.
If you get a Euro Pass, you can go to Slovakia as well. This is, of course, the traveling students manner of touring Europe which can get pretty interesting, even for non-students.
From Vienna International Airport, you can travel more cheaply to Bratislava by bus. However, there is always the crowded buses that you will have to deal with. Nevertheless, this is a unique and very interesting route since you will be among the locals most of the time.
There is also a way to travel first by railway, then shift to a local bus to get into Slovakia. The choices are pretty extensive, and since it is a land route, anything that can travel on land is possible.
One very scenic route that you can get to travel to Slovakia is by hydrofoil or boat. There are boats that travel from Budapest and Vienna along the Danube River and will dock in Propeller Dock at Bratislava. In the warmer months of the year, this could perhaps be the more preferred choice since it will help you cool down from the heat. This trip takes about an hour and a half and departs from each city about 3 times a day, weather permitting.
Traveling to Slovakia will never seem the same because you can actually bike your way into the country, and go all the way up to Hungary. There is the famous Danube Bike Route which practically trails the river from country to country.
If you do not want to trouble yourself with transfers, you can always take a taxi into Slovakia. However, make sure that you either agree on a flat rate, or he turns on his meter before moving.
