In this paper, we prove that on a K$ddot{a}$hler spin foliatoin of codimension $q=2n$, any eigenvalue ${lambda}$ of type $r(r{in}{1,{cdots},[frac{n+1}{2}]})$ of the basic Dirac operator $D_b$ satisfies the inequality ${lambda}^2{geq}frac{r}{4r-2};{inf}_M{sigma}^{ abla}$, where ${sigma}^{ abla}$ is the transversal scalar curvature of $mathcal{F}$.