  In this paper we show that the gravitational field equations of $(n+1)$%
-dimensional topological black holes with constant horizon curvature, in cubic
and quartic quasi-topological gravity, can be recast in the form of the first
law of thermodynamics, $dE=TdS-PdV$, at the black hole horizon. This procedure
leads to extract an expression for the horizon entropy as well as the energy
(mass) in terms of the horizon radius, which coincide exactly with those
obtained in quasi-topological gravity by solving the field equations and using
the Wald's method. We also argue that this approach is powerful and can be
extended to all higher order quasi-topological gravity for extracting the
corresponding entropy and energy in terms of horizon radius.
