Abstract: The present invention pertains to novel therapeutic ways for treating cognitive disorders associated with olfactory dysfunction. By using a mouse model of Down syndrome (DS—Ts65Dn mice), the present inventors have demonstrated that GnRH insufficiency is involved in the age-dependent acquisition of cognitive decline in DS and that pulsatile GnRH treatment allows reversing olfactory- and cognitive-associated impairments in DS. The present inventors have further demonstrated that GnRH insufficiency is involved in the pathological pathways of cognitive disorders in which the cognitive decline is associated with olfactory dysfunction, and, accordingly, that pulsatile GnRH administration can be used for the treatment of cognitive disorders associated with olfactory dysfunction. Accordingly, the present invention pertains to the use of GnRH for the treatment of cognitive disorders, said GnRH being administered by pulsatile administration.