Genetic parameter estimates are presented for hybrids between Pinus caribaea var. hondurensis (PCH) and both P. oocarpa (POOC) and P. tecunumanii (PTEC). Estimates were derived from factorial matings between these species established at two test locations in Queensland, Australia. Data from a total of seven genetic tests (four PCH*PTEC hybrid tests, and three PCH*POOC tests) were analysed using an individual tree model ASREML. Individual narrow-sense heritability, ratio of dominance to additive variance, ratio of dominance to phenotypic variance, and phenotypic and genetic correlations were estimated from data collected at age 5 years for height, diameter, stem straightness and angle of stem lean and for wind-firmness (parameters assessed at one to two years of age). Heritability estimates for all traits ranged from 0.06 to 0.63. There were no large differences in heritability estimates between sites for growth traits, but there were large differences between estimates from different tests for straightness, lean and wind-firmness, with these traits being more strongly inherited in tests at the location with the lowest rainfall. Generally, dominance variance was less important than additive variance for the traits studied. Genetic correlations between height and diameter were high (0.80-0.82) for the PCH*POOC hybrid and low to moderate (0.47-0.61) for the PCH*PTEC hybrid. Genetic correlations between growth traits and straightness, wind-firmness and stem lean were low, yet high between stem straightness, stem lean and wind-firmness. Genetic correlations between the parental performance of PCH in separate genetic tests of pure PCH and its performance in hybrid tests tended to be high and positive for growth traits but low and negative for straightness. In contrast, genetic correlations between the performance of PCH*PTEC and PCH*POOC were high and positive for stem straightness, stem lean and wind-firmness, but low to moderate for growth traits.