There's no train connection with Panama City Airport.
Car and bus
The airport is situated 24 kilometers northeast of the center of Panama City. The airport is easily accessible by rental car. From the city you can either take the Corredor Sur (a toll road) or the Via Tocumen. Via the toll road it takes you 20 minutes to get to the airport, but if you choose the busy Via Tocumen the ride to the airport may take more than an hour.
There are no buses connecting the airport with Panama City.
Car rental Panama Airport
You can find counters of car rental companies in the Arrivals Hall. Seven rental companies are present at Panama City Airport: Avis, Barriga, Budget, Dollar, Hertz, National/Alamo and Thrifty. You can also book your rental car in advance using the service provided by EasyTerra; they compare the rates of several providers in a single quote.
Taxis are the only means of public transport between the airport and Panama City. You can book a taxi at a fixed rate at a ticket kiosk. The rate is US$ 25.00 if you travel with one or two people, for every additional passenger you pay US$ 10.00. You can book a taxi by telephone via +507(0)238 4305 or +507(0)220 1210.
There's a parking lot in front of the terminal. You pay per minute: for the first hour US$ 0.03/minute, the second until the fifth hour US$ 0.02/minute and after that US$ 0.01/minute.