Repetition priming in visual search has been a topic of extensive research since Maljkovic & Nakayama [1994, Memory & Cognition, 22, 657-672] presented the first detailed studies of such effects. Their results showed large reductions in reaction times when target color was repeated on consecutive pop-out search trials. Such repetition effects have since been generalized to a multitude of target attributes. Priming has primarily been investigated using self-terminating visual search paradigms, comparing differences in response times. Response accuracy has predominantly served as a control variable. Here we present results from experiments where position priming is demonstrated in paradigms involving temporally limited exposures to singleton targets. Position priming of response accuracy was observed in an eye-movement-controlled spatial judgment task and in partial report tasks where the targets are oddly colored alphanumeric characters. The effects arise at very low exposure durations and benefit accuracy at all exposure durations towards the subjects’ ceiling. We conclude that temporally constricted experimental conditions can add to our understanding priming in visual search. The accuracy-based response mode allows for probabilistic modeling of data. Here we use the TVA-framework [Bundesen, 1990, Psychological Review, 97, 523-547] as the basis for modeling.