Zika Virus is neurotropic. We report two children from the Caribbean Island of Grenada, a three-year-old with acute neuro-inflammation who had intractable seizures, meningo-encephalitis, cerebrospinal fluid (CSF) pleocytosis and Zika Immunoglobulin M (IgM) positive acute serology and a four-year-old with acute demyelinating encephalomyelitis manifesting as generalized seizures, optic neuritis, diffuse cerebral dysfunction, encephalopathy, impaired speech and ataxia who also had CSF pleocytosis as well as Zika IgM and Dengue IgM positive acute serologies. Both cases occurred during the 2016 Zika and Dengue fever epidemics in Grenada. Both children recovered completely. The aetiologic role of the Zika and Dengue arboviruses is discussed.