Incumbent meaning : The current holder of an office, such as ecclesiastical benefice or an elected office. A holder of a position as supplier to a market or market segment that allows the holder to earn above-normal profits. Imposed on someone as an obligation, especially due to one's office. Lying; resting; reclining; recumbent. Prevalent, prevailing, predominant. Resting on something else; in botany, said of anthers when lying on the inner side of the filament, or of cotyledons when the radicle lies against the back of one of them. Bent downwards so that the ends touch, or rest on, something else. Being the current holder of an office or a title.