A fixed nozzle and pumping type cosmetic container, more specifically a fixed nozzle and pumping type cosmetic container wherein, since a pumping operation is performed in a state of a nozzle being fixated when a button is pressed, it is possible to apply contents on the exactly intended place, to prevent air from flowing by opening and closing a contents discharge hole by means of an opening and closing rod, and also to minimize leakage of contents through a leakage prevention part separately provided from a contents movement part.