There are train from the Yaroslavskiy station, but I went by car.
You need to take Shosse Entuziastov East out of the city. About 30 km out you pass Kupavna. On the next light, Moninskiy Povorot, you take left, another left right before the RR bridge, and then left into the AF base. Get them to explain the way to you throught the AF town to the museum since there are no signs inside to guide you.
If you are not a Russian citizen, you must comply with security concerns in advance. See my main page for detailed info.
Hardly could be called transportation.
Tickets for air-show were sold in advance, including a special tickets for car parking. But due to bad weather on Saturday (read: no flights). Tickets for both days were valid on Sunday (!). Result: no parking places and need to left cars 2 km from airdrome and walk by this dirty... No need to mention that cash for parking place was not returned :-(