Localized surface plasmons (SPs) of single ambichiral nanostructures (ACNs) were investigated using the discrete-dipole approximation. The extinction, absorption cross sections, and local electric filed magnitudes of a single ACN were calculated and compared with those obtained from the single chiral nanostructure (CN) as reference structure. The results showed that two localized SP peaks appear in ACN, while exist only one peak in CN. We found that the optical properties of ACNs are same as CN at low angular displacements, where the morphology of ACNs is closed to CN.