Airports:

Sheremetyevo (SVO-1, SVO-2) - 35 km
At first from Sheremetyevo airport you should go along the "Mezhdunarodnoye shosse" (International highway). At the end of it keep on your left and choose Moscow city direction of "Leningradskye shosse". When you reach the Moscow Circle Motor Road follow "the North" road sign and go till "Jaroslavskoye shose" sign (15km). Here you should keep your right and going to the Centre of Moscow about 10 minutes (8km). On the left side of the road you'll see high semicircular Cosmos hotel building.

Bus
Express Bus ¹ Ù 851ñ (Chz 851s)
It comes from Rechnoy Vokzal metro station ? SVO1 ? SVO2- Rechnoy Vokzal metro station
Bus service: from 6:30 to 20:30 from Rechnoy Vokzal metro station
from 7:05 to 21:05 from SVO1
Fare: 15 RUB
When you get to Rechnoy Vokzal metro station take the metro to Novokuznetskaya, change to Tretyakovskaya, and travel on to VDNKh, and from there the Cosmos is 10 minutes on foot.

There is a shuttles service between the Rechnoy Vokzal metro station and the airport. The tickets you can buy when you get into a shuttle. Shuttles arrive at Rechnoy Vokzal metro station and at Planernaya metro station.
If you get to Rechnoy Vokzal metro station take the metro to Novokuznetskaya, change to Tretyakovskaya, and travel on to VDNKh, and from there the Cosmos is 10 minutes on foot.

If you get to Planernaya metro station. take the metro to Kitay Gorod (line of the violet colour), change to Kitay Gorod (line of the orange colour), and travel on to VDNKh, and from there the Cosmos is 10 minutes on foot.

You can order a taxi by phone: +7 (495)981-08-81

Domodedovo (DMO) - 55 km

There is a Aeroexpress train. Paveletsky railway station has a city passenger terminal connected to Domodedovo airport by high-speed railway. The comfortable high-speed Aeroexpress train travels non-stop to and from Paveletsky-Moscow and Domodedovo Airport. There is a modern passenger terminal at Paveletskiy station, which offers to passengers a comfortable waiting lounge, a cosy cafe. You pass to the platform through the metro passage. They leave about every 30 minutes from 8:00 a.m to 11:00, every hour from 11:00 to 23:00.
Multi-modal terminal is located in Domodedovo International Airport connecting a railway station with passenger terminal. Travel time: 40-50 minutes. Ticket cost: 120 rubles. Tickets are sold at ticket desks at the passenger terminal of Paveletskiy station.
Ticket desks in Domodedovo International Airport are located in the right wing of the terminal.
The train arrives at Pavelezkaya metro station. Take the metro to Novokuznetskaya, change to Tretyakovskaya, and travel on to VDNKh, and from there the Cosmos is 10 minutes on foot.

Commuter electric train. This train goes from Moscow, Paveletsky station to Domodedovo airport and from the airport to Moscow, Paveletsky station, with all stops en route. Time of journey – 1 hour 10 minutes.

Also there's the Express Buses option.
Travel time: 35 minutes.
Service fee: 30 roubles. Children under 7 go free of charge. Luggage carriage is free of charge.
Ticketing: one may aquire a bus ticket in the passenger terminal, near the 0 (zero) counter at the domestic arrivals area.
Bus stop: at the right wing of the Domodedovo passenger terminal.
Bus service: from 6.00 to 24.00
Departure: every 15 minutes
It takes 40 minutes to get to Domodedovskaya metro station. Take the metro to Novokuznetskaya, change to Tretyakovskaya, and travel on to VDNKh, and from there the Cosmos is 10 minutes on foot.

There is a 24-hour shuttles service between the Domodedovskaya metro station and the airport.
Official carriers: "Round Trans" & "Elex Polus"
Journey time: 25-30 minutes.
Fare: 50 RUB
Ticket: payment for a journey should be made to the driver when boarding a taxi. There is no additional luggage payment.
Timetable: a 24-hour service.
Taxi stops:
- at the right wing of the Domodedovo airport, in front of the arrivals exit of the Russian airlines;
- at Domodedovskaya metro station, from the first or last carriage of an underground train approaching from the center, turn right in the subway and take the right from stairs up to the exit. The taxi stand is just near these exits.
Enquiries:
+7(495) 363-2777, +7(495) 363-3089
A taxi  should take just over an hour.
To get to the International Domodedovo Airport by taxi you need to use the Kashirskoye road - 22 km to the south from Moscow.

Railway stations:
Leningrad Station, Yaroslavl Station or Kazan Station
These three stations are located on Komsomolskaya Ploshchad near Komsomolskaya metro station. From Komsomolskaya, take the circle line (Koltsevaya Liniya, colored brown on themetro map) to Prospekt Mira, change to the Kaluzhsko-Rizhskaya line (colored orange on the metro map) and travel on to VDNKh, from where the hotel is 10 minutes away on foot.
Kursk Station
From Kurskaya metro station, take the Koltsevaya line (colored brown on the metro map) to Belrusskaya, then change to the Kaluzhsko-Rizhskaya line (colored orange on the metro map) and travel to VDNKh. After which it's a 10-minute walk to the hotel.
Belarus Station
From Belorusskaya metro station travel along the Koltsevaya line (colored brown on the metro map) to Prospekt Mira, change to the Kaluzhsko-Rizhskaya line (colored orange on the metro map) and travel on to VDNKh, then 10 minutes walk to the hotel.
Kiev Station
Take the metro from Kievskaya along the Koltsevaya line (colored brown on the metro map) to Prospekt Mira, change to the Kaluzhsko-Rizhskaya line (colored orange on the metro map) and travel on to VDNKh, from where its 10 minutes on foot.