Innsbruck is one of the main Austrian cities and the capital of Tirol (Tyrol). It is located in the west part of the country and is the most important Austrian winter sports city. Innsbruck is located in Inn Valley and its name comes from the Inn river that crosses the city center. Innsbruck has a small airport in the suburbs called Kranebitten. The main railway (Hauptbahnhof) is located in Sudtiroler Platz, only 10 minutes walking far from the city center and links Innsbruck with others Austrian localities and with main European cities. There are direct trains from Innsbruck to Munich (Munchen), Frankfurt, Verona, Zurich. From Innsbruck main railway station there are many direct trains to Vienna airport. Innsbruck is linked to many Austrian and European cities by buses also.
Innsbruck is an historical city with a rich Imperial history. Tourists can visit the Imperial Palace (Hofburg), the Imperial Church (Hofkirche), the Ambras castle, the Triumphal Arch, the St.Anne`s Column. Maybe the first historical place that should be visited is the Golden Roof (Goldenes Dachl). Innsbruck has many interesting museums and churches. Innsbruck card is the best way to discover the city and surroundings, saving money.
Innsbruck has lots of possibilities for winter sports. The city hosted Olympic Games two times and Paralympic Games two times. Innsbruck hosts the third event of the FIS Four Hills Tournament in first days of every January. This event takes place on Bergisel ski jump and contains two ski jump events in Germany and two ski jump events in Austria.
I could suggest two possibilities for spending one day in Innsbruck as a tourist. With Innsbruck card there will be no fee for public transport, cable cars, entrance to museums, ski jump, Imperial Church, Ambras castle, Imperial Palace Hofburg. The touristic bus (Sightseer or hop-on-hop-off) is also free of charge with Innsbruck card and it is the best way to discover the city.
To discover the historical Innsbruck but also to see a nice panorama city and one of main landmarks of the city, I would give this suggestion: start the visit with the Sightseer from the railway station or the city center and stop at Ambras castle. After visiting this nice castle, go on the trip with the Sightseer until the Bergisel ski jump, the last bus station. Go on the top of the ski jump, don`t miss to take photos and to admire the wonderful panorama. On the top of the ski jump there is a restaurant where Bergisel cake (Bergisel torte) and a good coffee can be enjoyed. Take the Sightseer again and stop to the city center. There the visit can go on with Hofburg, the Imperial Palace and the Imperial Church (Hofkirche).
The second suggestion is for tourists who want to discover Innsbruck as a city with lots of possibilities for sports and hiking. Start the visit with the funicular Hungerburg and go on with the gondola until 1905 m. Seegrube chalet. Enjoy the panorama, try an apple pie and a coffee and go on with the second gondola to the top. There Hafelekar peak offers a great view from its 2256m. There is also a restarant here. Go back in the city and take the Sightseer to the Bergisel ski jump. Enjoy the nice view !