A long‐standing problem and major shortcoming of semiclassical (WKB) bound‐state wave functions is their divergence at the classical turning points. Presently available regularization schemes are accurate but rather complicated. It is shown how finite wave functions can be simply obtained by reorganizing the WKB perturbation expansion in powers of ℏ and retaining appropriate higher‐order terms. The wave functions obtained by this method are compared with exactly known ones for the harmonic‐oscillator and Morse potentials.