Critical dynamics of the random Ising model with long-range interaction dec
aying as r(-(d+sigma)) (where d is the dimensionality) is studied by the th
eoretic renormalization-group approach. The system is released to an evolut
ion within a model A dynamics. Asymptotic scaling laws are studied in a fra
me of the expansion in epsilon = 2 sigma - d. In dimensions d < 2 sigma, th
e dynamic exponent z is calculated to the second order in root epsilon at t
he random fixed point.