We construct and study the electrically charged, rotating black hole s
olution in heterotic string theory compactified on a (10 - D)-dimensio
nal torus. This black hole is characterized by its mass, angular momen
tum, and a (36 - 2D)-dimensional electric charge vector. One of the fe
atures of this solution is that for D > 5 its extremal limit saturates
the Bogomol'nyi bound. This is in contrast with the D = 4 case where
the rotating black hole solution develops a naked singularity before t
he Bogomol'nyi bound is reached. The extremal black holes call be supe
rposed, and by taking a periodic array in D > 5, one obtains effective
ly four-dimensional solutions without naked singularities.