Thieves reportedly targeted the Thomas Cook store on Penlline Road in the Whitchurch area of the city which took place at around 12.30pm on Saturday March 26, according to Walesonline.
Three men have been arrested and are currently being held in custody.
There have been no reported injuries.
South Wales Police are asking for anyone with information about the incident to please call 101, or contact Crimestoppers anonymously on 0800 555 111 quoting reference: 1600105457.