Titanic Museum Branson Admission Ticket. Step aboard a detailed replica of the Titanic with your admission ticket to the Titanic Museum Branson in Missouri. During your self-guided tour, see hallways, cabins, parlors and the Grand Staircase, which have been carefully reproduced as they were on the Titanic. The Titanic Museum Branson vividly recounts the story of the famous ship with exhibits that feature more than 400 artifacts that belonged to the ship and its passengers. You can also touch a real iceberg, stand on sloping decks that replicate the Titanic's final moments, and more. Book with us and Save 3%! Titanic Museum Branson Admission Ticket.