Public transportation from Domodedovo Airport:  Inside the passenger terminal are 8 check-in counters and 23 booking offices selling tickets to all destinations.
Minibuses to the Domodedovskaya underground station (for subway connection)  run every 15minutes 6am-midnight; thereafter on a reduced schedule.

By Train:

Currently the Airport is linked to the Paveletsky and  Kalanchovskaya railway stations in Moscow, and a link to Aviatsionnaya Station is presently in the works.
Aeroexpress links the Airport nonstop with Moscow’s Paveletsky Rail Terminal - running every half hour and taking 40-50 minutes. (The Commuter Train to Paveletsky Station takes overan hour.)
Domodedovo Air Rail Service (DARS) technology benefits travelers continuing travel from Moscow to other cities (Kazan, Krasnodar, Saransk, Dnepropetrovsk, Vienna & Kishinev) offering time saving, minimum connecting time, high quality service & fast departure procedures.

By Bus:
Express Buses by Scania, Man, Mercedes run every 15 minutes between the Airport and Domodedovskaya underground station located in the southern part of the city (with connections to the Moscow Metro), taking 25-30 mins.

Connecting to Sheremetyevo or Vnukovo Airports: 25 double-decker multiple-unit trains will operate on Moscow's commuter rail lines between City Center and Moscow's three international airports of Sheremetyevo, Vnukovo & Domodedovo.

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