  On a compact K\"ahler manifold $X$, Toeplitz operators determine a
deformation quantization $(\operatorname{C}^\infty(X, \mathbb{C})[[\hbar]],
\star)$ with separation of variables [10] with respect to transversal complex
polarizations $T^{1, 0}X, T^{0, 1}X$ as $\hbar \to 0^+$ [15]. The analogous
statement is proved for compact symplectic manifolds with transversal
non-singular real polarizations [13].
  In this paper, we establish the analogous result for transversal singular
real polarizations on compact toric symplectic manifolds $X$. Due to toric
singularities, half-form correction and localization of our Toeplitz operators
are essential. Via norm estimations, we show that these Toeplitz operators
determine a star product on $X$ as $\hbar \to 0^+$.
