Four components of female reproductive success in captive Saharan arrui (Barbary sheep), Ammotragus lervia sahariensis (Rothschild, 1913), have been analysed: longevity, fecundity, offspring one-month survival rate and the age of first birth. Longevity accounts for 69.9% of the variance of reproductive success, fecundity for 54.2%, offspring one-month survival rate for 29.8%, and the age at first birth for 10.4%. A detailed study of these components leads to the following conclusions: (a) longevity is higher in those individuals in better physical condition; (b) fecundity is related to age and social rank; (c) heavier offspring at birth have a higher probability of surviving during their first month of life; and (d) the age at first birth is delayed by high levels of population density, inbreeding coefficients, and birth weights. On the other hand, high-ranking females are characterized by shorter inter-birth intervals and give birth to a higher proportion of twins.