We have investigated the coherent exciton in the diluted magnetic semi
conductor quantum wells by means of the degenerate-four-wave-mixing (D
FWM) with 200 fs time resolution under magnetic field up to 5 T. We ob
served the magnetically tunable teraherz oscillation in the time evolu
tion of the DFWM signal. We attributed the oscillation to the spin bea
t between Zeeman split exciton states, which are excited coherently. T
he oscillation period becomes shorter with decreasing the exciton dens
ity. This confirm that strong interaction between exciton and the magn
etic ion. Further, we found that the spin of the magnetic ion scatters
the exciton coherence at zero filed and this effect is suppressed wit
h magnetic field.