Applications, which should be made via email to a designated address, will be considered on a "case-by-case" basis.
The policy will apply to people who experienced delays at Hampden Park at the weekend.
Glasgow 2014 organisers apologised after spectators were left waiting for park-and-ride buses, missing the start of the athletics on Sunday.
Spectators seeking a refund are being asked to hold on to their tickets.
A spokeswoman for Glasgow 2014 said: "We have a refund policy for cancellation or delay of sports events.
"This requires spectators to request a refund via email to email@example.com.
"This policy would also apply to any spectator who missed their session at Hampden Park due to park-and-ride shuttle issues."
She stressed that refunds cannot be issued at ticket offices or venues.
"Refunds will be considered on a case-by-case basis and we would ask spectators to hang on to their tickets as these may be required for a refund together with their park-and-ride booking reference number," she added.
"No refunds will be issued at Glasgow 2014 ticket offices in George Square or at venues."
Meanwhile, more than 1.5 million people have passed through Glasgow Central Station since the games opened last Wednesday.
Network Rail said Monday saw record numbers of visitors to the station, which is already Scotland's busiest, with more than 350,000 people passing through - compared with an average daily footfall of 110,000.
David Dickson, Network Rail route managing director for Scotland, said: "The Commonwealth Games are a wonderful advert for all that best about Glasgow and we are working hard to try to help keep spectators and regular commuters alike on the move.
"We are seeing unprecedented numbers of people using Glasgow Central Station, where our staff are striving to make sure they get the best possible experience during the games.
"Our engineers are also hard at work behind the scenes, preventing disruption to services as much as possible and limiting the impact of any incidents that do occur.
"We'd like to thank the public, and regular rail travellers in particular, for their patience and positivity in what is a very busy time on our network."
Cabinet Secretary for Commonwealth Games Shona Robison said: "Glasgow 2014 is the biggest sporting and cultural event Scotland has ever hosted, and the last few days has been a massive weekend of sport and festival with events spread across the City and beyond. Since the Games began on Wednesday, there has been a record number of visitors to rail stations throughout the city.
"Glasgow Central Station alone has had the equivalent of the entire population of Glasgow pass through it this weekend.
"With so many people in Glasgow to enjoy the Games, the residents, businesses and visitors to the City should continue to bear in mind the transport networks will be extremely busy during this exciting time and I encourage everyone to ensure they leave extra time to travel."