  In this work, we analyze the noncommutative three-dimensional Coulomb
potential problem. For this purpose, we used the Kustaanheimo-Stiefel mapping
to write the Schr\"odinger equation for Coulomb potential in a solvable way.
Then, the noncommutative hydrogen-like atoms were treated, and their energy
levels were found. In addition, we estimate a bound for the noncommutativity
parameter.
