It had been operating 24 flights a day to and from six cities.
It operated nearly 3,800 flights yesterday, the same daily level as last week.
Southwest, which operates more than 2,400 flights a day, is probably best known for its low prices.
The airport only operates regular flights in the summer season.
There has been no effect on flights operated by Israel's national airline.
Domestic and foreign airlines also operate flights within the country.
The airport operates 19,345 flights a year, with 72 aircraft based on the field.
The shuttle has 850 employees and operates 62 flights daily.
The airport received permission in 1978 to operate public flights.
Terminal 2 operates international flights only and has 10 gates.