A technique is developed with the potential for coherent all-optical contro
l over electron spins in semiconductors on femtosecond time scales. The exp
eriments show that optical "tipping" pulses can enact substantial rotations
of electron spins through a mechanism dependent on the optical Stark effec
t. These rotations were measured as changes in the amplitude of spin preces
sion after optical excitation in a transverse magnetic field and approach p
i /2 radians. A prototype sequence of two tipping pulses indicates that the
rotation is reversible, a result that establishes the coherent nature of t
he tipping process.