Are there nonstop flights from New York (JFK) to Houston (IAH)?

Yes. JetBlue Airways fly this route. Flight time is about 3h 11m.

What is the fastest connection from New York (JFK) to Houston (IAH)?

via Washington ≈ 3h 41m, via Washington ≈ 3h 41m, via Nashville ≈ 3h 42m (estimated flying time, excluding layovers).

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

John F. Kennedy International Airport (JFK) to George Bush Intercontinental Airport (IAH)・2,278 km

Nonstop flights available (1 airline). Flight time about 3h 11m. Nonstop return flights also operate.

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

48 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.