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We investigate the singularly perturbed monotone systems with respect tocones of rank $2$ and obtain the so called Generic Poincar\'{e}-Bendixsontheorem for such perturbed systems, that is, for a bounded positively invariantset, there exists an open and dense subset $\mathcal{P}$ such that for each$z\in \mathcal{P}$, the $\omega$-limit set $\omega(z)$ that contains noequilibrium points is a closed orbit.

Generic Poincar\'{e}-Bendixson Theorem for singularly perturbed monotone systems with respect to cones of rank-$2$