Abstract: The physical features of discrete Alfvén eigenmodes (αTAEs) bounded by the α-induced potential wells are investigated in ITER (International Thermonuclear Experimental Reactor) with the ITB (internal transport barrier) scenario, where α denotes a measure of the pressure gradient. The use of the negative-ion-based neutral beam injection (NNBI) heating and current driving can obtain a large and strong ITB for higher performance, and the instability of αTAE in this scheme is discussed. The αTAEs during sustaining, shrinking and erosion of ITB are discussed upon the pure radio frequency scenario. It is found that αTAEs exist in the ITB region due to the steep pressure gradient. More αTAEs exist in scenarios with strong ITB and the frequencies of these eigenmodes are higher. Multiple αTAEs are readily destabilized in the presence of energetic particles. The frequency of the excited αTAEs increases with increasing beam energy. The high β_p scenario with ITB on DIII-D has many of the desired properties of ITER steady-state. The αTAEs in high β_p scenarios are also studied.