In Terminal One, there is a hotspot, but it requires registration. In Terminal 7, (If I recall), British Airways have WiFi for their travellers.
Where at JFK, can one get free Internet access, and in what conditions?
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Free 30 Minutes of Wi-Fi Source
Pay as you go: $4.95 per hour
Day Pass: Unlimited access for a 24-hour period, $7.95
Unlimited Access: Unlimited access for a month, $9.95 per month
Paid Wi-Fi available is some gates.
Free (Work In Progress):
Terminal 4- Jetblue offers free Wi-Fi (sometimes)
Terminal 4- Terminal 5- Jetblue offers free Wi-Fi
If your laptop has a relatively good antenna, then you can stalk the outside of Delta Sky Club lounges and see if you can pick up their free internal wifi. There was a period when they were enforcing passwords / logins, but this is no longer the case apparently (I now have a mobile plan that allows sharing, so I no longer lounge-stalk).