In a tweet around 9am the airport said: “We regret that operations are temporarily suspended at the airport.
“Our winter operations teams are working to reopen as soon as possible.
“We advise passengers to check with their airline for updates and apologise for any disruption.
The airport announced just after 10am that services were operational once again and the weather conditions will be monitored locally for the rest of the day.
Heavy snow across the central belt and Borders is affecting travel across much of the country.
At around 10am the travel hub tweeted it was back up and running, but winter operations staff would be on standby throughout the day.
Forecasters predict those conditions will head eastwards before turning into sleet and rain.
It comes as yellow warnings for snow and ice have been put in place across large parts of the country.
A Met Office spokeswoman said: “Temperatures dropped quite a bit last night creating some fair amounts of snow coming through.
“As we continue that should start to pull away eastwards, we should see some milder air, turning to a watery mix of precipitation.
“By evening time it should be mostly dry.”