The monorail offers a unique view of Epcot Some people love to make riding the monorail part of a day off. Take the monorail that runs between the Transportation & Ticket Center and Epcot; you’ll have a fun view of the park. If this is something that you want to make part of your Walt Disney World vacation, keep an eye on the park hours. The monorails will be packed for opening and closing, as well as near the fireworks.