Speed-accuracy tradeoff (SAT) refers to the adjustment between response speed and its accuracy, a process mediated through cortical and subcortical circuits. However, it remains unclear whether SAT can be modulated by the effects of tRNS and/or tDCS. In order to explore this effect, we used the attention network test (ANT). This tasks allowed us to test three independent networks related to both subcortical activity (alerting and orienting) and cortical level (executive). We hypothesized that performance would increase for alerting and orienting networks with tRNS whereas tDCS would increase performance in executive network. Moreover, to make the SAT effect more prominent, instructions that emphasized speed and accuracy were also introduced. Eighteen healthy students undertook three experimental sessions of tRNS, anodal tDCS and sham over the left dlPFC while performing the ANT. Results showed that no significant effect was found for stimulation. Instructions, however, showed a significant difference between speed condition and standard condition. Thus, SAT was successfully manipulated by instruction condition but not by stimulation.