Tasmanians are permitted to take day trips within the state though will not be able to take overnight trips until June 15.
As of Monday, social visits to private households with up to five people visiting at one time were permitted as the first stage of coronavirus restrictions were lifted.
The allowance for five visitors to a home is in addition to people who might live at the property.
People with more than one property in Tasmania, such as a shack, will still need to base themselves within their primary residence.
If there is a need for a household member to go into quarantine, the second residence is allowed to be used as a second household.
Owners of a second property are still able to attend it to make urgent repairs, undertake maintenance or do a security check.
People are allowed to exercise in national parks and reserves, including beaches in reserved areas, but only 30 kilometres from their primary residence.
Parks and playgrounds were opened on Monday for groups of up to 10 people.
This was the same for public pools and outdoor boot camps.
Sports teams are now permitted to train with up to 10 people at a time as well.
Another phase of stage one restrictions are due to be lifted on May 25.
As part of that, kindergarten and primary school students will return to school as will year 11 and 12 students.
High school students in years 7 to 10 will return to school on June 9.
Unless advice from Public Health Services suggests otherwise, gyms and bootcamps can accept 20 people at a time as can parks and playgrounds from June 15.
Open homes and auctions will be available to 20 people as will beauty services.
Gatherings in restaurants, cafes, cinemas, museums, and at church or weddings, will increase to 20 people.
Tasmanians will be able to go camping overnight from June 15.