  By treating the cosmological constant as a thermodynamic pressure, we
investigate the thermodynamic behaviors of Born-Infeld AdS black hole in 4D
Einstein-Gauss-Bonnet (EGB) gravity. The result shows that the Van der Waals
like small/large black hole (SBH/LBH) phase transition always appears for any
positive parameters $\alpha$ and $\beta$. Moreover, we observe a new phenomenon
of small/intermediate/large black hole (SBH/IBH/LBH) phase transition with one
tricritical and two critical points in the available parameter region for
\alpha and \beta. This behavior is reminiscent of the solid/liquid/gas phase
transition.
