Beckham is set to join AC Milan on a short term loan deal in January.
The England start does not want to risk injury, in the match that their were due to play against Queensland Roar on December 11.
A Galaxy statement read: “To avoid disappointment for the many fans that were expected to travel to Brisbane from all parts of Australia for this event, it was decided to postpone this game before tickets went on sale.
“Fans with tickets as a result of a priority pre-purchase this week will receive a full refund.
“We are very hopeful that we will be able to re-schedule the game in Brisbane in the near future and will make this a priority for our organisation.”