Nonlinear dust acoustic (DA) localized structures are studied in two-suprathermal ion-temperature dusty plasma. The electron number density is assumed to be sufficiently depleted owing to the electron attachment during the dust charging process, i.e. n e ≪n i . The DA solitary waves and double-layers are investigated based on the pseudo-potential approach. It is found that the ion suprathermality may affect the spatial patterns as well as the nature of the DA structures.