  We have studied the variation of the position space statistical complexity
measure defined by L\'{o}pez-Ruiz, Mancini, and Calbet such as the product of
exponential of the Shannon information entropy and the disequilibrium by using
the 1D-normalized probability densities derived from solutions of the
Schr\"{o}dinger equation corresponding to the q-deformed harmonic oscillator
and q-deformed Morse potentials. An analysis of the numerical results in terms
of Shannon information entropy, disequilibrium and complexity measure are
presented. In q-deformed harmonic oscillator, q-dependence of the complexity
shows a minimum point for all excited energy levels. In the case of q-deformed
Morse Potential, complexity decreases with increasing $q$ for the investigated
diatomic molecules.
