  In this paper, we concern about applying general relativistic tests on the
spacetime produced by a static black hole associated with cloud of strings, in
a universe filled with quintessence. The four tests we apply are precession of
the perihelion in the planetary orbits, gravitational redshift, deflection of
light, and the Shapiro time delay. Through this process, we constrain the
spacetime's parameters in the context of the observational data, which results
in about $\sim 10^{-9}$ for the cloud of strings parameter, and $\sim 10^{-20}$
m$^{-1}$ for that of quintessence. The response of the black hole to the
gravitational perturbations is also discussed.
