The speed of growth in height of Swietenia macrophylla stands out in terms of resistance to attack by the Hypsipyla grandella borer and the selection of fast-growing families can make commercial plantings viable. The characters height, diameter, number of leaves and stem form of trees from 4 families of S. macrophylla, aged 47.5 months, planted in Ucayali, Peru, were used to investigate the possibility of selecting fast-growing genotypes. The average heritability (h2m) and selective accuracy (Acprog) between families were moderate for total height (Ht: h2m: 0.407; Acprog: 0.638) and commercial height (Hc: h2m: 0.472; Acprog: 0.687), in addition to Hc positively correlating with susceptibility to the drill attack. The stem form showed statistical differences between families and great h2m (0.984) and Acprog (0.921). The genetic (rg) and phenotypic (rf) correlations between traits showed t...