The characteristics of beta-induced Alfvén eigenmode (BAE) at L–I–H transitions have been investigated in the HL-2A experiments for the first time. It is found that a BAE of fBAE ∼ 13.6 kHz coexists with the limit cycle oscillations of fLCO ∼ 2.6 kHz and both disappear after the I–H transition in the discharges with L–I–H transitions. It is also found that the ambient turbulence is modulated by the radial electric field at the BAE frequency and that the level of density fluctuation gradually drops in L–I–H transitions, but it remains invariant in L–I–L ones. These results suggest a possible correlation between the BAE and the L–I–H transitions. The sudden disappearance of the BAE in L–I and I–H transitions has the similar effect of sawtooth crashes on triggering L–I–H transitions in the HL-2 A tokamak.