Health Secretary Matt Hancock said it is still too early to say what contact people will be able to have over Christmas - or what restrictions will be in place.
He told a Downing Street press conference the Goverment and devolved administrations for Wales, Scotland and Northern Ireland want to have a "consistent set of rules" across all parts of the UK.
He said: “Over Christmas I know how important it is that we have a system in place, a set of rules that both keeps people safe but also allows people to see their loved ones.
"Many people have family in different parts of the UK so we're working with the UK Government and the three devolved administrations to try to have a consistent set of rules across all four nations so that it's easier for people to travel and to see their loved ones.
"But there will have to be rules in place because we obviously want to keep people safe as well."
He added: “I’m very respectful of the work going on which is being led by others to see if we can get a UK-wide approach, that’s why I’m reluctant to comment any more on what the Christmas arrangements might be.
“I just think it would be such a boost to the whole of the UK if the four nations each responsible for health care in a devolved way can come together and agree a set of arrangements that’s both safe and carefully and sensible but also allows families to see each other at Christmas.”
Mr Hancock told reporters no decisions have been made on what additional restrictions may be required after lockdown is eased in England on December 2.
Northern Ireland will enter a two-week circuit-breaker next Friday, while Scotland has placed two million people in its toughest level of restrictions for three weeks.
Meanwhile Welsh First Minister Mark Drakeford today said there was evidence that the firebreak in Wales had successfully had an impact on lowering the rate of coronavirus transmission.
Mr Hancock said: “We’re doing the work on what happens after December 2 right now, it’s still too early to tell.
“I’m afraid we still haven’t made those decisions.
He added that he has grown “more and more confident” that life will be closer to normal by spring.
