Cluster weapons are dropped by aircraft and contain many small so-called bomblets.
They have been widely criticised because unexploded munitions can go off later, injuring or killing civilians.
The Swedish representatives in Dublin have supported the new convention. But according to Swedish Radio News, the position of the center-right government here is uncertain, as the Swedish-made BK90 cluster weapon would be banned under the agreement.
However, the defence spokesman for the Liberal Party, which is part of the coalition, says Sweden should sign the convention, as cluster weapons are such a threat to civilian life.