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Let \theta be an involution of the semisimple Lie algebra g and g=k+p be theassociated Cartan decomposition. The nilpotent commuting variety of (g,\theta)consists in pairs of nilpotent elements (x,y) of p such that [x,y]=0. It isconjectured that this variety is equidimensional and that its irreduciblecomponents are indexed by the orbits of p-distinguished elements. Thisconjecture was established by A. Premet in the case (g \times g, \theta) where\theta(x,y)=(y,x). In this work we prove the conjecture in a significant numberof other cases.

Composantes irr\'eductibles de la vari\'et\'e commutante nilpotente d'une alg\`ebre de Lie sym\'etrique semi-simple