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The geostatistical estimation proposed by the Kriging process is the best possible estimation because it provides the best linear unbiased estimation. A good example of it is the increasing number of applications in the Earth Sciences where it is used nowadays: mining industry, petrol industry, environmental study, etc. This estimator, under the condition which is obtained, shows a smoother representation of the reality that is being studied. So, an alternative for this situation is the simulation, which main aim is to present one of the possible realization of the Random Function with the same spatial variability characteristics of the reality. The principal topics of the Conditional Simulation Theory are presented in this paper. [ABSTRACT FROM AUTHOR]