We use molecular dynamics computer simulations to investigate the fluctuati
ons of the electric microfield in a strongly coupled plasma. For a one-comp
onent plasma our results for the probability distribution bridge the gap be
tween expressions obtained by cluster expansions valid for weakly coupled p
lasmas and those obtained in the simple harmonic oscillator model in the st
rong coupling regime. In a strongly coupled two-component plasma the dynami
cs does ceases to separate clearly into a fast electronic and a slow ionic
component. Because of the formation of bound states the two-component autoc
orrelation functions far the electric field cannot be obtained by superposi
ng the autocorrelation function of the electrons and ions. With increased c
oupling the conditional covariance of the microfield shows an increasing os
cillatory behaviour as a function of time. This will influence the line sha
pe of radiative transitions in the ions which is used as a tool for plasma
diagnostics.