  Recently, a renormalizable gravity theory with higher spatial derivatives in
four dimensions was proposed by Ho\v{r}ava. The theory reduces to Einstein
gravity with a non-vanishing cosmological constant in IR, but it has improved
UV behaviors. The spherically symmetric black hole solutions for an arbitrary
cosmological constant, which represent the generalization of the standard
Schwarzschild-(A)dS solution, has also been obtained for the
Ho\v{r}ava-Lifshitz theory. The exact asymptotically flat Schwarzschild type
solution of the gravitational field equations in Ho\v{r}ava gravity contains a
quadratic increasing term, as well as the square root of a fourth order
polynomial in the radial coordinate, and it depends on one arbitrary
integration constant. The IR modified Ho\v{r}ava gravity seems to be consistent
with the current observational data, but in order to test its viability more
observational constraints are necessary. In the present paper we consider the
possibility of observationally testing Ho\v{r}ava gravity at the scale of the
Solar System, by considering the classical tests of general relativity
(perihelion precession of the planet Mercury, deflection of light by the Sun
and the radar echo delay) for the spherically symmetric black hole solution of
Ho\v{r}ava-Lifshitz gravity. All these gravitational effects can be fully
explained in the framework of the vacuum solution of the gravity. Moreover, the
study of the classical general relativistic tests also constrain the free
parameter of the solution.
