We showed that drinking problems, as indexed by the AUDIT score, is associated with prolonged stop signal reaction time (SSRT) or impaired response inhibition. Furthermore, activations in bilateral dorsal anterior cingulate cortex (dACC)/superior frontal gyrus, left middle frontal gyrus, and pre-supplementary motor area during response inhibition mediate the association bidirectionally between SSRT and the AUDIT score. Although these results do not specify a unique, directional influence, they suggest shared neural substrates between drinking problems and deficits in inhibitory control.