A movement disorder specialist isn't something that is board certified.The International Parkinson and Movement Disorder Society provides a directory of movement disorder specialists to help you find one in your area. ( https://mds.movementdisorders.org/directory/ )
https://www.parkinson.org/expert-care/Patient-Centered-Care/Finding-the-Right-Doctor Most movement disorders specialists are neurologists who have completed another one or two years of movement disorders training, a neurology sub-specialty.
People are eager to learn about the differences between the PD care received from a general neurologist versus a Movement Disorders Specialist. What distinguishes one from the other? While there are many similarities between the two, there are some distinct differences that I will explain.
https://www.apdaparkinson.org/article/what-does-a-movement-disorders-specialist-do/ Most of the doctors in AMC's Movement Disorder Clinic are MDS. https://www.amc.edu/PhysicianDirectory/index.cfm?event=DisplayCategory&categoryID=Movement%20Disorders&orderBy=faculty&who=amc&LastNameStartsWith=#Results