Abstract: An unmagnetized dusty plasma with two-temperature nonthermal distributed ions under the higher order transverse perturbations was studied,A Kadomtsev-Petviashvili(KP) equation is derived by using the reductive perturbation method.It is found that in the presence of the higher order transverse oerturbations,the peak amplitude of the solitary waves may decrease,whereas their width increases as compared to the one-dimensional case.Meanwhile,the two-temperature nonthermally distributed ions have significant influence on solitons structures.Fourthermore,compressive and rarefactive solitary waves can coexist in this system.