Kursk Station serves arrivals from central Russia (Kursk and Nizhny Novgorod), eastern Ukraine (Donetsk and Kharkiv), and some Sapsan high-speed services from St. Petersburg. It is a little less than 10 km by road from the Derzhavnaya Hotel.
By taxi
The drive to the Derzhavnaya Hotel from the station will take about 20 minutes in reasonable traffic, but more at peak times. Taxis should cost $25-30, but if you prefer not to haggle you can book a transfer with driver to meet your train here.
By metro
From Kurskaya Metro Station, which is connected to the concourse of the mainline station, take the brown circle line two stops counterclockwise to Prospekt Mira, change here to the orange line and travel three stops north to VDNKh. The Derzhavnaya Hotel is about five minutes' walk from the metro.