This is great: you couldn't get lost on your way to Copenhagen if you even tried! All main roads and trains in Denmark lead here, all boats going through the ?resund moor here and nearby Kastrup airport (CPH) is a clear example of Scandinavian cleanliness and efficiency.
From Kastrup airport there's really no better and cheaper way to get to the city than to take the train. The station is located underneath the airport terminal (3) and trains to Copenhagen proper leave every 10 minutes. The train ride only takes 15 minutes and drops you off in the centre of town. For further journeys or across the ?resund bridge/tunnel to Malm? in Sweden there are frequent trains as well.
From the airport you can get to Copenhagen via train. Just outside the terminal is a stand that sells the tickets. Was inexpensive compared to taxis. Make sure to buy roundtrip as you'll save some money. Train is clean and enjoyable trip.
The best way to do that is to take Bus no. 250S Copenhagen Airport (Københavns Lufthavn) – Buddinge st. which will stop at the Main Railway station as well. From that place you can reach all city center by foot or another bus.
For those who don't speak Danish: if your luggage is taking all the place in a bus and a passanger with child's trolley wants to get in and you hear the driver angrily speaking on the microphone and the parent of child looking at you with some question, better - MOVE from your place.. Apparently the trolley must be left in the place where you ARE..:)
Kastrup Airport is the most important airport in Denmark. The fastest way to go to the city centre is by train, which takes about 15 minutes.
How to get there:
Train from Kastrup airport to Copenhagen goes every 20 minutes and it takes 13-16 minutes. Return ticket costs 45 DKK and +25 DKK if bought from the train. So, buy your tickets from the airport.