  We propose a construction to compute the holographic entanglement negativity
for bipartite mixed state configurations of two disjoint subsystems in higher
dimensional conformal field theories (CFT$_d$s) dual to bulk AdS$_{d+1}$
geometries. Our proposal follows from the corresponding AdS$_3$/CFT$_2$
scenario and involves an algebraic sum of the areas of bulk RT surfaces for
certain combinations of subsystems. Utilizing our construction we compute the
holographic entanglement negativity at the leading order through a perturbative
expansion, for such bipartite mixed states of two disjoint subsystems with long
rectangular strip geometries in CFT$_d$s dual to bulk pure AdS$_{d+1}$
geometries and AdS$_{d+1}$-Schwarzschild black holes.
