  Using "complexity=action" proposal we compute complexity for
Jackiw-Teitelboim gravity assuming that a UV cutoff enforces us to have a cut
off behind the horizon. We find that the resultant complexity exhibits the late
time linear growth. It is also consistent with the case where the corresponding
Jackiw-Teitelboim gravity is obtained by dimensional reduction from higher
dimensional gravities. To this work certain counter term on the cut off surface
behind horizon is needed.
