The first minister says the end of the restriction will coincide with allowing two households to form one extended household.
The five-mile restriction on travel in Wales will be lifted from Monday, First Minister Mark Drakeford has announced.
Mr Drakeford said the end of the “stay local” requirement would coincide with allowing two households to form one extended household – enabling families to be reunited.
“From Monday, we will lift the requirement to stay local and introduce new changes to the rules to enable people from two separate households to join together to form one extended household,” he told a news conference in Cardiff.
“These changes will be welcomed by many as they represent a further easing of the lockdown – but this doesn’t mean that coronavirus has gone away.
“We all still have a responsibility to keep on doing all the things, which make a real difference to the spread of the virus.
“This means maintaining social distancing, thinking carefully about where we go and why, so together we continue to do all that we can to help to keep Wales safe.”
People found travelling outside their local area without reasonable excuse have faced being fined by police.