By plane
Esbjerg Airport (http://www.esbjerg-luftha...) is in the eastern part of the city, with local bus connections. There are flight connections to Aberdeen and Stavanger-Bergen, Norway
Billund Airport (http://www.billund-airpor...) is western Denmark's biggest and more well connected. It is conveniently located about an hour's drive from Esbjerg.
Esbjerg is the terminal for the DFDS (http://www.dfdsseaways.co.uk) overnight ships to England. Billund Airport, an hour away, is served by bus.
By train
The train station is in the town centre and this connects you to pretty all of Denmark and beyond.
By bus
Express busses connect Esbjerg to Aalborg, Aarhus and Sønderborg as well as other towns in Denmark.
By ship
Getting to Esbjerg from the UK is simple. With a regular ferry from Harwich (http://www.dfdsseaways.co...), you arrive in Esbjerg around midday. You can get the number 5 bus, just outside the terminal from Esbjerg port to the railway station in the centre of town.