Delayed Hypoxic-isquemic Leucoencephalopathy described in 1976 by Ginsberg is a brain white matter demyelinization phenomenon that occurred days or weeks after a hypoxic-isquemic injury followed by a complete recovery of the episode. The pathogenesis process remains unknown. We describe a 48 year old woman with cervico-uterine cancer in palliative treatment with opoids. She enters the emergency room with a respiratory depression, a prolonged hypotension and confusion, that it was recovered. At admission exhibits a recurrent pneumonia. Two weeks later, in conditions of discharge, initiates with agitation in context with rapidly progressive decline cognition, with concordant lesions of Leucoencephalopathy defined in the Magnetic Resonance (MR) study The metabolic profile, the cerebrospinal fluid and the electroencephalogram allowed dismissing other etiologic hypothesis. In front to the suspicious of Ginsberg syndrome, she had normal levels of Arylsulfatase. This acute post-hypoxic demyelinization process has been pathogenic interpreted as an arylsulfatase deficiency. Although numerous cases develop with normal arylsulfatase and the experimental studies of hypoxia, has support the hypothesis of a central hypoxic axonopathy due to failing in axonal transport as the base of the demyelinization phenomenal.