The　curvaton　scenario　received　much　attention　recently.　It　provides　an　alternative　way　to　generate　scale-invariant　perturbations　for　the　observed　universe,　besides　the　standard　inflation　paradigm.　This　paper　studies　the　preheating　in　the　nonminimal　derivative　coupling　curvaton　model　with　a　nonstandard　kinetic　matter　term,　as　a　consequence　of　the　large　scale　power　spectrums　of　curvature　perturbation.　It　is　found　that　the　nonstandard　kinetic　matter　term　is　able　to　modify　the　behavior　of　the　preheating,　compared　to　the　nonminimal　derivative　coupling　curvaton　model　with　standard　kinetic　matter　term.　Our　result　may　provide　an　insight　to　the　preheating　process　for　bouncing　cosmology　or　brane-inspired　cosmology.