Equilibrium molecular dynamics (EMD) simulations have been executed to investigate the parallel (D ) and perpendicular (D ┴ ) diffusion coe cients for three-dimensional (3D) strongly coupled (SC) electrorheological complex (dusty) plasmas (ERCPs). The effects of uniaxial (z-axis) ac electric eld (M T ) on dust grains have been investigated along with various combinations of plasma parameters (Γ, κ). The new outcomes obtained by mean squared displacement of Einstein relation show diffusion coe cients for low-intermediate to high plasma couplings (Γ) for varying M T . The D and D ┴ at M T = 0.01 are agree well with earlier available data obtained from the Green-Kubo and Einstein relation for 3D SC-Yukawa systems. The simulation data show that D increase with an increase of moderate M T strength and D ┴ decreased for the intermediate to large M T strength Both (D , D ┴ ) remained nearly constant for low M T values. The investigations show that the current EMD scheme is more e cient for nonideal gas-like, liquids-like and solid-like states of SC-ERCPs. It has been demonstrated that present simulation outcomes extended the M T range up to 0.01 ≤ M T ≤ 10 to understand the diffusive and rheological behavior of dusty plasmas systems.