Summary: We present an exact quantization condition for the time independent solutions (energy eigenstates) of the one-dimensional Dirac equation with a scalar potential well characterized by only two ‘effective’ turning points (defined by the roots of \(V(x)+mc^{2}=\pm E\)) for a given energy \(E\) and satisfying \(mc^{2}+\min V(x)\geqslant 0\). This result generalizes the previously known non-relativistic quantization formula and preserves many physically desirable symmetries, besides attaining the correct non-relativistic limit. Numerical calculations demonstrate the utility of the formula for computing accurate energy eigenvalues.