  In this paper, we define the weighted homogeneous space (WHS), denoted by
$\frac{G}{P}[\psi_H]$ where $\psi_H$ is weight function defined on the set of
simple roots of $G$, by an element $H$ in the highest Weyl chamber. The weight
function $\psi_H$ describes the action of the maximal torus $T$ on different
Bruhat cells and is well behaved via the change of coordinates defined by the
action of the Weyl group $W$. The major effort in this text is to prove basic
algebraic and geometric properties of a weighted homogeneous space. The
definition can be compared with an existing version given by Reid-Corti
\cite{CR}. Additionally, we express $\frac{G}{P}[\psi_H]$ as a whole compact
quotient of $G/P$ by a certain action of a finite abelian group. Besides, it is
presented a criterion when two WHS with possibly different weight systems are
isomorphic. The criteria give a simple method to understand the regular maps
between two WHS's, defined by matrices with specific polynomial entries. We
also explain invariant K\"ahler differentials on WHS by using certain potential
functions on $G$. Our contribution is a generalization of the results presented
in \cite{Al, AL, AKQ}. For that, we explain how the weights affect different
computations of chern classes of line bundles given in \cite{AL, AKQ}. Finally,
we provide a result on the coordinate ring of a WHS by cluster algebras
associated to weighted quivers. Specifically, we show that the coordinate ring
of a WHS is a weighted cluster algebra of finite type. In this case, the
corresponding Dynkin quiver is equipped with a weight function defined on the
vertices where the mutations also affect the weights. We present an embedding
of a WHS in a product of weighted projective spaces, showing that the
coordinate ring is a weighted graded algebra.
