The purpose of this study was to investigate effects of demanding cognitive task performance on intermittent maximum voluntary muscle contraction (MVC) force production. Participants performed either a modified Stroop or control task for 22 min. After the first min and at 3-min intervals thereafter, participants rated fatigue, perceived mental exertion and performed a 4-s MVC handgrip squeeze. A mixed ANOVA showed a significant interaction, F(7, 259) = 2.43, p = .02, with a significant linear reduction in MVC force production over time in the cognitively depleting condition (p = .01) and no change for controls. Ratings of perceived mental exertion, F(7, 252) = 2.39, p < .05, mirrored the force production results with a greater linear increase over time in the cognitive depletion condition (p < .001) compared to controls. Findings support current views that performance of cognitively demanding tasks diminishes central nervous system resources that govern self-regulation of physical tasks requiring maximal voluntary effort.