...to Vilnius railway station
By train - As you come out of arrivals from the airport, the airport train stop is approximately 400m to the left of the bus stops in front of you. Take the elevator down to the tracks and hop on the train to Vilnius. This train runs regularly from the airport to Vilnius railway station and back. The train shuttles 16 times a day, it takes 7 minutes to arrive to the railway station from the airport. The ticket costs €0.70. It can be purchased on-line, in the train and at the Vilnius railway station, however please make sure you have some change with you. Train timetables can be viewed at Lit Rail
By bus - Alternatively, you can take a bus No. 1 or No. 2, which run to Vilnius station from directly outside the airport terminal and costs €1 when purchased from the bus driver....to Vilnius coach station
By microbus - The company Toks transports passengers from Vilnius airport to the coach station and back by microbuses. Single ticket costs €1. Bus stop is installed next to the airport terminal, near arrival hall C.
Vilnius coach station is located across the road of the railway station, so you can use the same as above trains or buses to get there.