Methods are disclosed for the alleviation of movement disorders via the implantation of static devices which focally release neuroinhibitory compounds to preselected brain areas. Pathological conditions to be treated by these methods include parkinsonian movement disorders, Huntington's chorea, and epileptiform seizure activity. In the treatment of parkinsonism, target areas implantation include the subthalamic nucleus, the globus pallidus internus, and the substantia nigra pars reticulata. In the treatment of epilepsy, implants may be placed in an epileptogenic focus area of neural over-activity. The devices may be polymeric implants that release neuroinhibitory compounds such as GABA, GABA agonists, GABA potentiators, action potential blockers and voltage dependent calcium channel blockers, and glutamate antagonists. Alternatively, the devices may contain living cells which secrete neuroinhibitory compounds.