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The purpose of this note is to characterize those orthogonal polynomialssequences $(P_n)_{n\geq0}$ for which $$ \pi(x)\mathcal{D}_q P_n(x)=(a_nx+b_n)P_n(x)+c_n P_{n-1}(x),\quad n=0,1,2,\dots, $$ where $\mathcal{D}_q$ isthe Askey-Wilson operator, $\pi$ is a polynomial of degree at most 2, and$(a_n)_{n\geq0}$, $(b_n)_{n\geq0}$ and $(c_n)_{n\geq0}$ are sequences ofcomplex numbers such that $c_n\neq0$ for $n=1,2,\dots$.

A characterization of continuous $q$-Jacobi, Chebyshev of the first kind and Al-Salam Chihara polynomials