The present invention provides a ready to use stable aqueous dosage form of norepinephrine comprising an aqueous solution of norepinephrine or its pharmaceutically acceptable salt, one or more sulfite antioxidants and an ion chelator. The present invention also provides an infusion container filled with an aqueous solution of norepinephrine or its pharmaceutically acceptable salt, wherein the said solution is stable for a prolonged period of time and can be terminally sterilized by autoclaving.