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.
Forces have flagged up instances of travellers from England breaching the rules and being given penalties.
The Welsh government is continuing to urge people to observe social distancing, engage in regular handwashing and to respect the places and communities they visit.
It said this includes checking location information, going somewhere else if a location is already busy or car parks are full, not littering and "showing respect" for residents.
Although there will be no limit on travel from Monday, holiday accommodation in Wales will not be allowed to reopen.
The government said people will only be allowed to be part of one extended household.
Everyone in that extended household must belong to the two households, it added, saying this will be the case for "the foreseeable future".
If someone in the extended households develops COVID-19 symptoms, everyone must self-isolate - not just those who live together.
The Welsh government will consider a range of lockdown easing measures at its next review of the restrictions.
This includes possibly reopening bars and restaurants from 13 July and self-contained accommodation from 11 July.
The possibility of hairdressers reopening by appointment only will also be looked at.