Are there nonstop flights from Moscow (SVO) to Irkutsk (IKT)?

Yes. Aeroflot, Pobeda fly this route. Flight time is about 5h 27m.

What is the fastest connection from Moscow (SVO) to Irkutsk (IKT)?

via Krasnoyarsk ≈ 5h 58m, via Tomsk ≈ 5h 58m, via Tyumen ≈ 5h 59m (estimated flying time, excluding layovers).

from 29,500 ANA miles (economy, one way, based on the published award charts).

Sheremetyevo International Airport (SVO) to Irkutsk International Airport (IKT)・4,213 km

Nonstop flights available (2 airlines). Flight time about 5h 27m. Nonstop return flights also operate.

With milesANA 29,500 miles+ (via PEK)Economy, one way, estimate. Tap a connection for miles by cabin.

26 one-stop options, sorted by estimated flying time. Tap one to see the airlines on each leg and booking links.

Times are estimated from distance. Check schedules, frequency and availability with the airline or a booking site.