Are there nonstop flights from Naples (NAP) to Mahón (MAH)?

Yes. Ryanair, easyJet fly this route. Flight time is about 1h 31m.

What is the fastest connection from Naples (NAP) to Mahón (MAH)?

via Rome ≈ 2h 4m, via Palma de Mallorca ≈ 2h 19m, via Marseille ≈ 2h 25m (estimated flying time, excluding layovers).

from 15,000 ANA miles (economy, one way, based on the published award charts).

Naples International Airport (NAP) to Menorca Airport (MAH)・860 km

Nonstop flights available (2 airlines). Flight time about 1h 31m. Nonstop return flights also operate.

With milesANA 15,000 miles+ (via MUC)Economy, one way, estimate. Tap a connection for miles by cabin.

22 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.