Are there nonstop flights from Minsk (MSQ) to Almaty (ALA)?

Yes. SCAT Airlines, Belavia fly this route. Flight time is about 4h 51m.

What is the fastest connection from Minsk (MSQ) to Almaty (ALA)?

via Samara ≈ 5h 22m, via Moscow ≈ 5h 25m, via Moscow ≈ 5h 25m (estimated flying time, excluding layovers).

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

Minsk National Airport (MSQ) to Almaty International Airport (ALA)・3,704 km

Nonstop flights available (2 airlines). Flight time about 4h 51m. Nonstop return flights also operate.

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

20 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.