A fully fuzzy matrix equation of̃ÃX̃B=̃Chas its own important in the application of control systemengineering particularly in the situation of uncertainty. In this study, the equation is solved wherethe triangular fuzzy numbers be the variables of the equation. The algorithm that is used in thesolution is consists of the conversion for the fully fuzzy matrix equation to a fully fuzzy linear systemby utilizing the Kronecker and Vec-operator. Subsequently, the final solution is obtained by usingthe pseudoinverse method. A numerical example and the verification of the solution obtained arepresented to demonstrate the contribution of this study.