The United Airlines crew members, aged 61 and 45, were arrested on suspicion of being under the influence of drink or drugs before the United Airlines flight on Saturday morning.
Flight UA162 to Newark, New Jersey was scheduled to take off at 9am but was cancelled after the pair’s arrest.
Police Scotland confirmed both men are pilots and that they are due to appear in court on Tuesday.
The limit for alcohol in the breath for pilots is specified as 9 microgrammes of alcohol in 100ml, which is less than half the 22 microgrammes limit for drivers in Scotland.
A spokesman for Glasgow Airport said: “This morning Police Scotland did attend before the United Airlines flight UA162, going to Newark.
“The flight was subsequently cancelled.”
United said on Twitter: “We regret that our flight for today from GLA to EWR, UA162, has been cancelled because of crew availability.”
The pair face up to two years in prison or a fine if found guilty under the Railways and Transport Safety Act 2003.
“It’s a very tragic incident and we’re doing everything we can to investigate it and try to identify the motivation behind this,” said Carper.
“We’re still interviewing obviously a lot of witnesses as well as officers to determine if anyone else was involved,” he said.