Among other things, Iranian assets abroad will be frozen and arms trade with Tehran will be stopped.
The sanctions were paused when Iran agreed to a cooperation agreement on, among other things, scrutiny of the country's nuclear energy research in 2015, called JCPOA. The demand to reinstate them came mainly from France, Germany and the United Kingdom.
The countries are now warning Iran against acting "escalatingly".
"The reintroduction of UN sanctions is not the end of diplomacy", write the three countries' foreign ministers in a joint statement.
The countries have held talks with Iran about a new agreement on scrutiny of the country's nuclear energy program, without achieving any results.
US Secretary of State Marco Rubio is urging UN member states to immediately impose the sanctions "to pressure Iran's leaders to do what is right for their country and best for global security".
Russia and China previously tried to extend a pause for the reintroduction of sanctions by six months. But late on Friday, nine of the Security Council's 15 member states turned against the proposal.
Iran's Foreign Minister Abbas Araghchi has previously claimed that reintroduced sanctions are "legally invalid", while President Masoud Pezeshkian said that the reintroduction of sanctions is "dishonest, unfair and illegal".
