This paper provides a model that can be used in generating plants as behavior uniform objects in shape, dimensions, and computation the mathematical properties. To realize the precision computations based on possible techniques in field of mathematical fractal geometry represent by Lindenmayer System (L-System) technique determine the movements of a turtle drawing algorithm. This modeling starting from an initial point (axiom) to the random seeds are used the replacement process rules. The planet will be generated based on an object is “self-similar”. It is congruent to a uniformly scaled piece of itself by iterating the generation in different angels of the branches in the specific various directions to create more complex models in 2D and 3D model and constructive solid geometry. The procedural needs to branching, randomization and uniform reproduce rules, and finally create the entire plant.