The suspects were identified Thursday as Daniel Ramirez-Castillo, 29, Yoel Brito, 42, and Luis Miguel Cordova, 39.
Police said undercover detectives watched the men for two weeks as they conspired to steal the truck.
Police said the men followed the truck for several days last week. They said the men tried to steal it Friday outside a business at 6640 NW 22nd Ave. after an undercover officer who was posing as a deliveryman entered the store.
The suspects used a copied key to gain access to the truck, authorities said.
The trio was arrested on charges of stalking, attempted grand theft of a vehicle and conspiracy to commit grant theft cargo, among other charges.
Police said they are seeking information about a 2007 Honda Odyssey with Miami Heat tag L3AJP whose driver fled the scene when the men were taken into custody.
Anyone with information about the vehicle is asked to call Miami-Dade Crime Stoppers at 305-471-TIPS.