Parameters of genetic trend of Selle Français (SF) horse breed were studied from 1974 to 2002 and detailed since 1991 because historical BLUP animal model genetic evaluation for jumping competition was available since 1989. During this period, annual births varied from 6000 to 10,000. The annual genetic trend for show jumping was 0.055 of genetic standard deviation between 1985 and 1995 and 0.096 since 1995 without unfavourable trend for dressage (ΔG=+0.002) and eventing (ΔG=+0.011). The three parameters of genetic trend: the selection intensity (i=1.95 for males, 0.48 for females), the accuracy (r=0.66 for males, 0.60 for females), and the generation interval (L=12.0 years for males, 11.5 for females) explained this result. Particularities were: a higher number of progeny for best sires which induced true selection intensity equal to 2.21, a new and important selection on progeny (46% births form sires tested on progeny between 2000 and 2002), a high rate of own performance test in competition for mares (45%) which induced high accuracy of mare pathway. However, demographic possibilities were not reached, the possible selection rate for male (1.5%) and females (49%) should increase genetic gain +14% and +11% respectively. The generation interval was too long: a better selection at first stage for males, with equal rapid test on progeny and a shorter period of reproduction, i.e. a higher number of foals per sire, should decrease the relative importance of progeny test and should decrease generation interval. The drop of mares aged more than 10 at first progeny should decrease 1.2 year generation interval without loss on accuracy. If breeders keep the same structure (test of stallion and majority of mares on their own performance), they could add new criteria (conformation, gaits…) in the breeding value estimation for SF and maintain the high genetic trend on jumping.