  The algebra of diffeomorphisms derived from general coordinate
transformations on commuting coordinates is represented by differential
operators on noncommutative spaces. The algebra remains unchanged, the
comultiplication however is deformed, that way we have found a deformed
bialgebra of diffeomorphisms. Scalar, vector and tensor fields are defined with
appropriate transformation laws under the deformed algebra and a differential
calculus is developed. For pedagogical reasons the formalism is developed for
the $\theta$-deformed space as it is the best known example of deformed spaces.
