We deal with the Gibbsian modifications of the Poissonian Delaunay or Voronoi tessellations. The Energy functions depend on the local geometrical structure of the tessellation (i.e., the volume, the perimeter of cells or the ratio of the volume of neigbours cells). We consider the hardcore interaction too, in order to force some geometrical properties of the cells (i.e., the range of size, the maximum number of edges...). We give some theoretical existence results for these Gibbs tessellations and we simulate them. We present a parametric estimator based on the pseudo-likelihood procedure. An application to the modelization of cellular tissues is presented. The works cited in this talk are collaborations with R. Drouilhet, H.-O. Georgii and F. Lavancier.