The baru (Dipteryx alata Vogel, Faboideae Leguminosae) that occurs in Brazil Central is valued by its multiple uses. The objective of this study was to quantify the genetic variability of baru provenances and the genetic progress with the different selection strategies. The increase in total height was measured in progeny and provenance test of three years old using experimental random blocks design with plot information using six replications of ten plants per family with row spacing of 3 x 2m. There were no significant differences between the studied provenances and only “Santa Vitória”, “Capinópolis” and “Campina Verde” showed significativally genetic variability among progenies within provenances. The combined selection provided genetic gains of greater magnitude and accuracy. The low accuracy of the families selection of was mainly due to lack of genetic variability among families within some origins.