The new relevance of Bayesian Statistics in different fields led to the creation of this text. Its two goals are contributing to the growth of Bayesian methods in Latin America and encouraging students to use such tools in their research projects. It presents basic elements of Bayesian statistics, computational Bayesian statistics and their applications. It is divided into 14 chapters that instruct in a great deal of procedures. The reader may email the authors requesting the corresponding information of the necessary databases to implement the R and OpenBUGS codes.