A method for cryopreserving wild ibex sperm at high cooling rates was developed. To design a freezing solution based on Tris, citric acid, and glucose (TCG), two preliminary experiments were performed using glycerol (GLY) and dimethyl sulfoxide (DMSO) at different concentrations (5%, 10%, 20%). The 10% GLY + 10% DMSO combination reduced (P < 0.05) frozen-thawed sperm motility, which reached a minimum when 20% GLY + 20% DMSO was used. In the second experiment, sperm tolerance to three sucrose concentrations was evaluated (100-mM sucrose, 300-mM sucrose, 500-mM sucrose). Frozen-thawed sperm motility and sperm viability decreased (P < 0.05) at concentrations above 300 mM. The ultrarapid cooling procedure finally used involved a TCG egg yolk (ey)-based extender with 100-mM sucrose, either alone or with 5% GLY with or without BSA. Two warming procedures (37 °C vs. 60 °C) were also evaluated. The TCG ey with 100-mM sucrose but without GLY/BSA returned the best sperm quality variables. Slow warming at 37 °C strongly affected (P < 0.05) sperm motility and viability in all groups. Sperm selection by density gradient centrifugation produced no motile sperm when slow warming was performed. In contrast, when fast warming was used, sperm selection increased (P < 0.05) percentage of motility, viability, and the percentage of sperms with intact acrosomes. Heterologous in vivo fertilization involving domestic goats was performed to evaluate the in vivo fertilization capacity of the ultrarapidly cooled cryopreserved sperm (in TCG-ey + 100 mM sucrose), with warming undertaken at 60 °C. Inseminations of domestic goats resulted in three pregnancies (3 of 16, 18.7% fertility). In conclusion, ibex spermatozoa are strongly sensitive to high concentrations of permeable cryoprotectants and sucrose. However, the combination of ultrarapid cooling, using TCG-ey + 100-mM sucrose, and fast warming at 60 °C, followed by sperm selection by density gradient centrifugation to collect the motile sperm, has a positive effect on sperm viability.