By plane
There are no direct connections to Lübeck Airport LBC (http://www.flughafen-lueb...) from London anymore. You can fly via Gdansk or Stockholm or Milano with 1 stop at least only.
The airport is a few kilometers outside the city centre but is easily accessed by car and public transport. There is a shuttle bus A20 to Hamburg ZOB Zentraler Omnibus Bahnhof, central bus station close to the HBF Hauptbahnhof, central train station. The public bus number 6 connects the airport to Lübeck's main railway station Hauptbahnhof every 30 minutes, journey time is about 20 minutes. There is also a local train connection from the station "Lübeck Flughafen", the station is about 200 metres away from the terminal building, the train runs every hour and needs not more than 10 minutes to the main railway station. The airport Hamburg HAM is just one hour away, and you can find there many international destinations.
By road
Lübeck is about 60 km northeast of Hamburg and easily accessible by car through the Autobahn A1. With the opening of the new highway A20 Baltic Sea highway to Rostock the state of Mecklenburg-Western Pommerania is only a very short distance away.