FILE- British Foreign Secretary Yvette Cooper attends a Security Council meeting on the situation in the Middle East, AFP
Trump is due to host the ceremony in Davos for the founding charter of his body for resolving international conflicts, which has a $1 billion price tag for permanent membership.
"There's a huge amount of work to do, we won't be one of the signatories today," Cooper told BBC television from the Swiss mountain town, amid UK concerns about the inclusion of Russian President Vladimir Putin.
"Because this is about a legal treaty that raises much broader issues, and we do also have concerns about President Putin being part of something which is talking about peace, when we have still not seen any signs from Putin that there will be a commitment to peace in Ukraine," she added.
She said Putin had shown no willingness "to come and make that agreement and that's where the pressure needs to be now".
"But we will have continuing international discussions including with our allies," the foreign secretary said.
Cooper echoed other UK cabinet ministers who in recent days have been expressing concerns over President Putin's potential role on the board, given Russia's ongoing offensive in Ukraine, the BBC said.
Invites were earlier sent to dozens of world leaders to join the so-far vaguely defined grouping.
Although originally meant to oversee Gaza's rebuilding, the charter proposed by the White House does not mention the Palestinian territory and appears to want to rival the United Nations, drawing the ire of some US allies, including France.
Trump on Wednesday said Putin had agreed to join -- despite the Kremlin so far saying it was still studying the invite.
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