The US and Japan proposed the draft resolution, which aimed to restate an already-established principle from the 1967 Outer Space Treaty.
Russia is allegedly working on developing a nuclear weapon that can destroy satellites in space, the US has warned.
Russia declared itself “firmly committed” to the current agreement.
The proposal, which was submitted on Wednesday, urged “all States, in particular those with major space capabilities, to contribute actively to the objective of the peaceful use of outer space and of the prevention of an arms race in outer space.”
It was also urged that the participating countries uphold the Outer Space Treaty, which vowed to “not place in orbit around the Earth any objects carrying nuclear weapons or any other kinds of weapons of mass destruction.”
