The prime minister's spokesman has refused eight times to confirm whether recognition of Palestine could go ahead if Hamas remain in power and the hostages are not released.
Keir Starmer's spokesman was questioned by journalists for the first time since the announcement last week that the UK will formally recognise the state in September - unless Israel meets certain conditions including abiding by a ceasefire and increasing aid.
The policy has been criticised by the families of UK hostages, campaigners and some Labour MPs, who argue it would reward Hamas and say it should be conditional on the release of the remaining hostages.
A senior Hamas politician, Ghazi Hamad, speaking to Al Jazeera, said at the weekend that major nations' decision to recognise a Palestinian state "is one of the fruits of 7 October".
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The PM's spokesman said on Monday: "The PM is clear that on 7 October, Hamas committed the worst act of terror in Israel's history. That horror has continued since then.
"As the foreign secretary said over the weekend, Hamas are rightly pariahs who can have no role in Gaza's future, there is a diplomatic consensus on that. Hamas must immediately release all hostages and have no role in the governance of Gaza."
But asked whether removing Hamas from power and releasing hostages were conditions for statehood, he said a decision on recognition would be made at the UN General Assembly meeting in September, based on "an assessment of how far the parties have met the steps we have set out. No one side will have veto on recognition through their actions or inactions."
He added: "Our focus is on the immediate situation on the ground, getting more aid in to end the suffering in Gaza and supporting a ceasefire and a long-term peace for Israelis and Palestinians based a two-state solution."
Starmer, who recalled his cabinet for an emergency meeting last week before setting out the new position, is following the lead of French president Emmanuel Macron, who first pledged to move toward recognising Palestinian statehood in April.
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Canada has also backed recognition if conditions are met, including by the Palestinian Authority.
The prime minister had previously said he would recognise a state of Palestine as part of a contribution to a peace process.
In his announcement last Tuesday, he said: "We need to see at least 500 trucks entering Gaza every day. But ultimately, the only way to bring this humanitarian crisis to an end is through a long-term settlement.
"So we are supporting the US, Egyptian and Qatari efforts to secure a vital ceasefire. That ceasefire must be sustainable and it must lead to a wider peace plan, which we are developing with our international partners.
"I've always said we will recognise a Palestinian state as a contribution to a proper peace process, at the moment of maximum impact for the two-state solution. With that solution now under threat, this is the moment to act."
Adam Rose, a lawyer acting for British families of hostages in Gaza, has said: "Why would Hamas agree to a ceasefire if it knew that to do so would make British recognition of Palestine less likely?"
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