It comes after Russian Federation vetoed a rival resolution that blamed Iran for fueling the conflict there.
USA ambassador Nikki Haley, who was absent from Monday's Security Council vote, issued a statement shortly after the Russian veto, threatening to take action against Iran "that the Russians can not block".
Vassily Nebenzia, the Russian Federation ambassador, said his country could not support the UK-drafted text.
A council resolution needs nine votes in favor and no vetoes by Russia, China, the United States, France or Britain to pass.
Russia's Permanent Representative to the United Nations Vassily Nebenzya said that Moscow can not agree with "unconfirmed conclusions and reports that should be double-checked and discussed by the sanctions committee".
After the veto, the council unanimously adopted a Russian-drafted measure that extended for one year sanctions related to Yemen, but that text made no mention of Iran.
The UN Security Council's condemnation of Iran for its destabilizing actions in Yemen was blocked by Russian Federation, its ally.
Since 2015, Shi'ite Huthi rebels backed by Iran have been battling Yemen's government, which has been supported by Saudi Arabia.
On Monday, the resolution gained 11 favorable votes at the 15-member Security Council but was halted by Russia's veto.
On Monday, a UK-drafted text was blocked by Russian Federation in the UN Security Council.
West and its regional allies have accused the Islamic republic of violating the United Nations arms ban to the militants in Yemen.
It came in response to a report prepared by a United Nations panel of experts, which found that missiles fired by Yemen's Houthi rebels at Saudi Arabia previous year were made in Iran. "Today, Russia protected the terrorist-sponsoring regime in Iran", said Nikki Haley, the U.S. permanent representative to the UN.
More than 10,000 people have died in fighting in Yemen that began as a domestic conflict after Houthi rebels took control of the capital Sanaa.
President Donald Trump warned European allies last month that they had to commit by mid-May to work with Washington to improve the pact.
It entered its most active phase in March 2015, when the Saudi Arabia-led coalition invaded the country. She did not say when or where the missile was used or fired, or its location when found. Tehran insists it has not violated the embargo and dismissed the accusations, describing the "evidence" showcased by Haley as "fabricated". While the panel accused Iran of flaunting the embargo by "failing to take the necessary measures to prevent the direct or indirect supply", it fell short of identifying the supplier of the weapons.
A UN Security Council meeting on February 26, 2018.
The approved resolution made no mention of Iran.