  We use the complexity equals action proposal to calculate the rate of
complexity growth for field theories that are the holographic duals of
asymptotically flat spacetimes. To this aim, we evaluate the on-shell action of
asymptotically flat spacetime on the Wheeler-DeWitt patch. This results in the
same expression as can be found by taking the flat-space limit from the
corresponding formula related to the asymptotically AdS spacetimes. For the
bulk dimensions that are greater than three, the rate of complexity growth at
late times approaches from above to Lloyd's bound. However, for the
three-dimensional bulks, this rate is a constant and differs from Lloyd's bound
by a logarithmic term.
