We present the results of an ab-initio study of the ground state prope
rties and the high pressure phase diagram of AlSb. We have analyzed th
e structural parameters and the total energy of AlSb in the rocksalt,
cesium chloride, beta-tin, zincblende. and nickel arsenide-type struct
ures, performing first principles self-consistent local density calcul
ations with nonlocal pseudo potentials. From the energy versus volume
diagram we obtain that at 4.7 GPa AlSb transforms to the NiAs-type str
ucture, like other III-V AlX compounds. This is in disagreement with a
recent experimental study that reports a transition to a B-tin struct
ure. We also predict a second transition to the CsCl-type structure at
39.5 GPa.