  We prove the existence of commutative $C^*$-algebras of Toeplitz operators on
every weighted Bergman space over the complex projective space
$\mathbb{P}^n(\mathbb{C})$. The symbols that define our algebras are those that
depend only on the radial part of the homogeneous coordinates. The algebras
presented have an associated pair of Lagrangian foliations with distinguished
geometric properties and are closely related to the geometry of
$\mathbb{P}^n(\mathbb{C})$.
