Are there nonstop flights from Madrid (MAD) to Cartagena (CTG)?

Yes. World2Fly fly this route. Flight time is about 9h 36m.

What is the fastest connection from Madrid (MAD) to Cartagena (CTG)?

via Punta Cana ≈ 10h 8m, via Santo Domingo ≈ 10h 9m, via Medellín ≈ 11h 1m (estimated flying time, excluding layovers).

from 35,000 ANA miles, from 37,000 JAL miles (economy, one way, based on the published award charts).

Adolfo Suárez Madrid–Barajas Airport (MAD) to Rafael Nuñez International Airport (CTG)・7,733 km

Nonstop flights available (1 airline). Flight time about 9h 36m. Nonstop return flights also operate.

With milesANA 35,000 miles+ (via MDE)JAL 37,000 miles+ (via MIA)Economy, one way, estimate. Tap a connection for miles by cabin.

18 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.