Researchs on genetic control of Acacia auriculifonnis in the sencond-generation progeny tests located in Hanoi, Nghe An and Binh Dinh, at age of 3-4 years showed that growth traits and stem quality (such as stem straightness, branch size, and health) are significant difference between families in these tests. Narrow-sense heristablities of growth traits and stem quality in both Nghe An and Binh Dinh progeny tests were low-medium values (ranged from 0.03 to 0.25), but coefficent of additive variations (CVa) of these traits were high (CVa 5 percent). Meanwhile, the heristablities of growth traits and stem quality in Hanoi progeny test were medium-high values (ranged from 0.2 to 0.5). Genotype by environment effects are practically important for both growth and stem straigthness between Hanoi and Nghe An or Binh Dinh. Therefore, at least two different breeding populations of A. auriculifonnis should be set up in Hanoi and Nghe An or Binh Dinh. The best families and clones should be separately selected in each site and deploy them in the future.