(CNN) -- The FAA has told U.S. airlines that they are prohibited from flying to or from Israel's Ben Gurion Airport for a period of up to 24 hours.
"The notice was issued in response to a rocket strike which landed approximately one mile from" the airport on Tuesday morning, the FAA said.
The notice only applies to U.S. airlines since the FAA has no authority over carriers from other nations.
The agency said it will continue to monitor and evaluate the situation, and that updated instructions will be provided to U.S. airlines "as soon as conditions permit, but no later than 24 hours" from the time the directive went into force.
Delta Air Lines and American Airlines both told CNN earlier in the day that they suspended service to Ben Gurion Airport near Tel Aviv. The American Airlines flights in question -- between Philadelphia and Ben Gurion -- are operated by US Airways, said American spokesman Casey Norton.
The Israel Airport Authority told CNN that the U.S. companies made the decisions on their own, and urged them to reconsider, saying that the airport was safe.
The suspensions come amid a conflict between Israel and militants in Gaza. The Israeli military said least 41 rockets were fired from the Palestinian territory toward Israel on Tuesday.
The suspensions come a day after the U.S. State Department asked Americans to consider deferring nonessential travel to Israel and the West Bank.
Monday's travel warning reaffirmed existing guidance against any travel to Gaza, which the State Department says "is under the control of Hamas, a foreign terrorist organization." The department urged U.S. citizens already in Gaza to depart immediately.
Visitors to Israel should familiarize themselves with the nearest bomb shelters in case of attack, and should avoid areas of Israel near Gaza due to the possibility of attacks from Gaza "with little or no warning," the warning says.
CNN's Amir Tal, Tim Lister, Marlena Baldacci and Justin Lear contributed to this report.