Genetic parameters for health and production traits were estimated in the great-grandparental (GGP) OPTIMA line, using the REML methodology applied to a multitrait animal model. Heritability estimates of infectious disease score (IDS), individual birth weight (IBW) and within litter standard deviation of birth weight (STDBW) were low but significantly different from zero (0.07 ± 0.01, 0.08 ± 0.01 and 0.11 ± 0.04, respectively. Heritability estimate of carcass yield was moderate (0.26 ± 0.09). Heritability for number born alive per litter (NBA) was consistent with the literature (0.09 ± 0.02) but heritabilty for standard deviation of number born alive (STDNBA) was not significantly different from zero (0.02 ± 0.05). All phenotypic correlations were close to zero except for the moderate favorable correlation between NBA and STDNBA (-0.21 ± 0.02). In general, genetic correlations were low, meaning a global genetic independence between traits but, due to the limited number of performances, their standard errors were high. The most remarkable values were the significant favorable genetic correlations between IDS and the two production traits IBW and CY (-0.40 ± 0.14 and -0.26 ± 0.17, respectively). It is therefore possible to effectively improve both health, production and ease of handling traits.