This invention provides a softening agent composition obtained by blending
and heat treating (a) 100 parts by weight of at least one non-aromatic
hydrocarbon softening agent for rubber; (b) 0.1 to 10 parts by weight of
an organic peroxide; and (c) 0.1 to 50 parts by weight of a crosslinking
aid, with the proviso that the weight ratio of component (b) to component
(c) is 1 or less. The softening agent composition is useful and very easy
to handle in the production of a thermoplastic resin composition.