  A singular real analytic foliation $\mathcal{F}$ of real codimension one on
an $n$-dimensional complex manifold $M$ is Levi-flat if each of its leaves is
foliated by immersed complex manifolds of dimension $n-1$. These complex
manifolds are leaves of a singular real analytic foliation $\mathcal{L}$ which
is tangent to $\mathcal{F}$. In this article, we classify germs of Levi-flat
foliations at $(\mathbb{C}^{n},0)$ under the hypothesis that $\mathcal{L}$ is a
germ holomorphic foliation. Essentially, we prove that there are two
possibilities for $\mathcal{L}$, from which the classification of $\mathcal{F}$
derives: either it has a meromorphic first integral or is defined by a closed
rational $1-$form. Our local results also allow us to classify real algebraic
Levi-flat foliations on the complex projective space $\mathbb{P}^{n} =
\mathbb{P}^{n}_{\mathbb{C}}$.
