Salient distractors can capture attention and disrupt tasks. This talk presents recent studies on how the brain suppresses visual distractors, whether they are within the same dimension as the target (within-dimension) or in a different one (cross-dimension). Using fMRI with the additional singleton visual search paradigm, we identified distinct neural processes for suppressing these distractors. Suppression of same-dimensional distractors occurs early, as indicated by reduced activity in the early visual cortex. In contrast, ignoring cross-dimensional color distractors involves higher brain regions like the fusiform gyrus. Further studies indicated that, at least for within-dimension distractors, the suppression is relatively local. That is, only the locations where the distractor has frequently appeared in the past are influenced by the learned distractor suppression, while distractors appearing in other locations are relatively unaffected. Additionally, using eye-tracking and a go/no-go task, to explore attentional capture after a response (or a no-go) decision has been reached, we show that distractor suppression can be flexibly activated and deactivated depending on current task requirements. Suppression remains active while performing a search task, but is deactivated during task-free exploration.