  In this paper, we use the complexity equals action proposal and investigate
holographic complexity for hyperscaling violating theories on different
subregions of space-time enclosed by the null boundaries. We are interested in
computing the onshell action for certain subregions of the intersection between
the Wheeler DeWitt patch and the past, as well as, the future interior of a
two-sided black brane. More precisely, we extend the results of Ref.
\cite{Alishahiha:2018lfv} in parts, to hyperscaling violating geometries and to
find the finite onshell action, we define the proper counter terms. We show
that in computing the rate of complexification the dynamical exponent plays a
crucial rule, but, at the late time, rate of the complexity growth is
independent of the hyperscaling parameters.
