  We investigate the duality conjecture "Complexity=Action" (CA) for
Born-Infeld (BI) gravity model and derive the growth rate of its action within
the Wheeler-DeWitt (WDW) patch, which is believed to be dual to the growth rate
of quantum complexity of holographic boundary state. In order to find the
correct on-shell action, we use direct variational procedure to find proper
boundary and corner terms. We find out that the late-time behavior of
holographic complexity is the well-known two times of energy, as expected.
