The approval of the resolution - which began to be developed over two years ago - was met with applause in the House.
According to the resolution, the general meeting must convene for a meeting within ten days after a veto has been placed.
The veto country then needs to provide a motivation for the decision and other countries get a chance to ask questions.
This does not mean that the veto can be stopped.
- The measure aims to increase transparency and responsibility in the use of the right of veto in the Security Council but also to strengthen the General Assembly, explains Anna Karin Eneström who at the end of 2019 became Sweden's permanent representative to the UN.
Three veto countries are behind it
She emphasizes that the resolution, which was adopted by consensus, has the broad and strong support of the Member States, including three permanent veto holders: the United States, the United Kingdom and France.
- This is a step in the work to try to limit the veto, says Eneström and adds that Sweden's long-term attitude to the right of veto is that it should be abandoned.
The UN General Assembly has condemned the war in Ukraine, but Russia stopped the Security Council's actions.
The fact that Russia, according to Eneström, used its right of veto is a strong contributing factor to the UN acting and adopting the resolution now.
- The Ukraine war is the most serious thing that has happened in the history of the UN, says the UN ambassador.
Hear Deputy Head of Sipri Joakim Vaverka about the UN's role in world politics in the clip above.