  The general theory of relativity is currently the accepted theory of gravity
and as such, a large repository of test results has been obtained since its
inception in 1915. However, in this paper we only focus on what are considered
as the main tests but in non-commutative (NC) geometries. Using the coordinate
coherent state formalism, we calculate the gravitational redshift, deflection,
and time delay of light, separately, for NC inspired Schwarzschild and
Riessner-Nordstrom black holes. We show the NC predictions have different
behavior than the general relativity. We also provide an upper bound on the NC
parameter by comparing the NC corrections with the accuracies of gravitational
measurements in the case of typical primordial black holes produced in the
early universe. In this regard, we use observational data for the scale factor
$a$ at the end of inflation to obtain physical satisfactory results.
