  Gravitational well is a widely used system for the verification of the
quantum weak equivalence principle (WEP). We have studied the quantum
gravitational well (GW) under the shed of noncommutative (NC) space so that the
results can be utilized for testing the validity of WEP in NC-space. To keep
our study widely usable, we have considered both position-position and
momentum-momentum noncommutativity. Since coherent state (CS) structure
provides a natural bridging between the classical and quantum domain
descriptions, the quantum domain validity of purely classical phenomena like
free-fall under gravity might be verified with the help of CS. We have
constructed CS with the aid of a Lewis-Riesenfeld phase space invariant
operator. From the uncertainty relations deduced from the expectation values of
the observables, we have shown that the solutions of the time-dependent
Schr\"{o}dinger equation are squeezed-coherent states.
