Abstract: The invariant Einstein metrics of the full flag manifold Sp(3)/T that was divided into nine isotropy subspaces were studied. First, the value of the non-zero structure constant was calculated, then according to its Einstein equation, sixty-four invariant Einstein metrics (up to a scale) were obtained by the Maple, which included a unique Kähler Einstein metric and three non-Kähler Einstein metrics (up to isometry) in the sense of equidistance.

Key words: generalized flag manifold, isotropy representation, Einstein metric, isometry