  Let $(\mathcal{F},S)$ be a foliated surface of general type with reduced
singularities over the complex number. We establish the Noether type
inequalities for $(\mathcal{F},S)$. Namely, we prove that
$\mathrm{vol}(\mathcal{F}) \geq p_g(\mathcal{F})-2$, and that
$\mathrm{vol}(\mathcal{F}) \geq 2p_g(\mathcal{F})-4$ if moreover the surface
$S$ is also of general type. Examples show that both of the Noether type
inequalities are sharp.
