Hereditary spastic paraplegia (HSP) is a diverse group of single-gene disorders that share the predominant clinical feature of progressive lower limb spasticity and weakness. More than 70 different genetic subtypes have been described and all modes of inheritance are possible. Intellectual dysfunction in HSP is frequent in recessive forms but rare in dominant families. It may manifest by either mental retardation and/or cognitive decline. The latter may be subtle, restricted to executive dysfunction or may evolve to severe dementia. The cognitive profile is thought to depend largely on the genetic subtype of HSP, although wide phenotypic variability within the same genetic subtype and also within the same family can be found.