<p>This paper is concerned with the existence and spectral stability of traveling waves for a class of singularly perturbed chemotactic models with logistic growth. By applying appropriate transformations and geometric singular perturbation method, we obtain the existence and the approximating estimates of a family of traveling waves with noncritical speeds for the chemotactic systems with a small parameter. Further, by applying detailed spectral analysis and Evans function method to the singularly perturbed linearized operators around the waves, we prove the uniform boundedness of unstable eigenvalues and spectral stability of the waves with noncritical speeds in some appropriate exponentially weighted spaces.</p>