Abstract: Excited states of neutron-rich iodine isotopes I130-134 above the high-spin isomers have been identified using prompt-delayed gamma-ray spectroscopy. The iodine isotopes were produced as fission fragments of fusion-fission and transfer induced fission of 9Be(U-238, f) at a beam energy of 6.2 MeV/u. The complete (A, Z) identification was obtained using the large acceptance magnetic spectrometer VAMOS++. The AGATA gamma-ray tracking array was used to detect the prompt gamma rays while the delayed gamma rays (in the time range of 100 ns to 200 μs) from the isomeric states were identified by the EXOGAM segmented clover detectors, placed behind the focal plane of the VAMOS++ spectrometer. The high-spin states above the (8(-)) isomers in I-130,I-132 were populated for the first time, and a new isomer in I-132 was identified. A new gamma-ray transition was also assigned to the level structure of I-134. Prompt transitions above the 19/2- isomer were identified in I-131,I-133, for the first time. The level structures are interpreted in terms of the systematics of odd-Z nuclei above the Z = 50 shell closure and large-scale shell model calculations.